What dose "if you may."mean?
Lion: I got something stuck in my teeth. It's driving me crazy! Can you help me out here? Please?

Zebra: You came to the right place, my friend.Doctor Marty D.D.S. is in the house!
Please hop on top of my sterilized examination table, if you may.

I picked up this dialogue from the first scene of anime Madagascar1
Dose "If you may" is complete sentence or,,?
thank you♪

Question

What dose "if you may."mean?
Lion:  I got something stuck in my teeth. It's driving me crazy! Can you help me out here?  Please?

Zebra: You came to the right place, my friend.Doctor Marty D.D.S. is in the house!
            Please hop on top of my sterilized examination table, if you may.

I picked up this dialogue from the first scene of anime Madagascar1 
Dose "If you may" is complete sentence or,,?
thank you♪

Answer

It's not a complete sentence.  It's a formal, polite phrase which means "please", "if you don't mind".

لا تفوّت فرصة تعلّم لغة جديدة وأنت مرتاح في منزلك. تصفّح مجموعتنا المختارة من مدرّسي اللغات ذوي الخبرة وسجّل في درسك الأول الآن!