The 21-year-old was handed the energy-boosting snack during a break in play and asked the girl to do the honors, indicating he was unable to perform the task himself due to plasters on his fingers.
However, the chair umpire was left unimpressed with the demand and ordered Benchetrit to do it himself.
The Frenchman reluctantly took the banana back off the slightly bemused ball girl and attempted to peel it with his teeth.
However, the confrontation didn't knock the youngster off course as he came from behind to beat Dmitry Popko 4-6 6-2 6-3.
Benchetrit will now face Yuichi Sugita in the first round of the tournament on Tuesday.
CNN reached out to the ATP for a response from Benchetrit but has yet to receive it.