Is it normal to have different doctors work on different things?

[Tulipsy71]

I had been in touch with a fairly large clinic about having different work done. I want some jaw area work, eye work, and a nose job. After going back and forth I was able to schedule a virtual talk with one of the doctors and he told me there will be three different doctors who would work on me. Is this normal? Is this considered a red flag? 

I guess I just had assumed only one doctor would manage everything.