In regard to the USA
No, there is no federal law in the United States that forces doctors to refer their patients to doctors willing to assist them in committing suicide or face disciplinary measures like losing their medical licenses.
Here's why:
Physician-assisted suicide (PAS) is a state-level issue: The decision of whether or not to legalize physician-assisted death is left to individual states, not the federal government.
No federal right to assisted suicide: The US Constitution does not protect a right to physician-assisted suicide.
States cannot force participation: Even in states where physician-assisted suicide is legal, like Oregon, doctors cannot be forced to participate in the practice if it violates their professional ethics or personal beliefs.
Right to refuse participation: Individuals involved in patient care generally have the right to refuse participation in procedures that violate their personal values, though this is subject to restrictions like ensuring the patient can seek treatment elsewhere.
Protection against discrimination for refusal: Section 1553 of the Affordable Care Act specifically protects individuals or health care entities (including individual physicians) from discrimination for not providing assisted suicide services.
However, some jurisdictions that have legalized PAS require referrals under specific circumstances. For example, Oregon, Washington, California, District of Columbia, and Colorado require physicians to refer patients for mental health assessments if they believe the patient may be suffering from a psychiatric or psychological disorder or depression causing impaired judgment. Reply on Internet search engine.............
In summary, while some states have legalized physician-assisted suicide and have specific requirements for referral in certain circumstances, there is no blanket federal law forcing doctors to refer patients for this practice, nor can they be disciplined for refusing to participate based on their beliefs. Journal of Ethnics AMA
Cant Understand why Canada is having this Culture of Death..............

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By the way reagrding a similar question of Physicians and ABoration In the USA
No, there are no laws in the United States that force doctors to refer patients for abortions or face disciplinary measures including losing their medical licenses.
Instead, federal statutes protect the conscience rights of healthcare providers. These statutes:
Prohibit recipients of certain federal funds from requiring individual providers to participate in procedures they find religiously or morally objectionable, including abortions.
Prohibit discrimination against physicians and healthcare personnel who either perform or refuse to perform abortions due to their religious or moral beliefs.
States also have their own "conscience clauses" that allow healthcare providers to refuse to provide services like abortions based on their moral or personal beliefs.
However, some laws, like aiding and abetting laws, can impact doctors' ability to counsel patients about abortion options. These laws have been challenged as potentially violating the First Amendment, but some states have enacted such laws allowing for civil penalties against individuals who aid or abet abortion procedures.
There is some legal uncertainty surrounding a doctor's obligation to provide information or referrals for abortions. Some doctors fear sharing basic information about abortion could lead to legal or professional consequences, even though no state has prosecuted a doctor for simply sharing abortion information, and no state law includes a blanket ban on sharing this information.
In regard to Aboration In Canada similar query
No, doctors in Canada are not required to refer patients to doctors who are willing to assist them with abortions. In fact, doctors can opt out of the referral process without facing professional consequences or reprisals. The Canadian Psychiatric Association and the Canadian Medical Association (CMA) both support physicians who choose not to refer patients for abortions.
However, doctors do have a duty of care to their patients and must provide them with enough information to make informed decisions. This could include advising patients that other doctors may be able to help, or suggesting that they visit an alternative health care provider. Doctors should also treat patients with dignity and respect, and not pressure them to share their own beliefs.
Some say that without an effective referral requirement, patients may not be able to access abortion services, which could violate their rights to privacy, human dignity, and personal autonomy. Others argue that requiring doctors to make referrals strikes a reasonable balance between the interests of doctors and patients.