Answer
In the Name of Allah, Most Gracious, Most Merciful.
All praise and thanks are due to Allah, and peace and blessings be upon His Messenger.
In this fatwa:
Any certified doctor can do circumcision. It does not matter whether they are Muslims or non-Muslims.
In responding to your question, Sheikh Ahmad Kutty, a senior lecturer and an Islamic scholar at the Islamic Institute of Toronto, Ontario, Canada, states:
Any certified doctor can do circumcision. It does not matter whether they are Muslims or non-Muslims; it is a simple procedure. So, any legitimate physician can perform it.
We cannot forbid things based on our personal opinion or speculations. In Islam, permission is the rule, and prohibition is an exception. We don’t need any proof for the former; we need evidence for the latter: i.e., prohibiting something.
So, I would advise not to bother with people who project their personal opinions as Islamic rules.
Almighty Allah knows best.