The PTT mic switch on a fighter aircraft is typically on the throttle(s), actuated with the pilot's left thumb. The control stick has plenty of buttons and switches, but they're typically used to control radar & other sensors, weapons delivery, and such things -- things that might need to be actuated at about the same time that a radio transmission needs to happen. So the usual convention is that the mic switch is about the only thing that the thumb of the left hand, on the throttle/s, is needed for.
Wikipedia provides this diagram of the switches on an F-16's stick and throttle:
In this case, the pilot's left thumb has a couple other controls it can manipulate, but they're sufficiently non-time-sensitive that it's not a problem being unable to manipulate them at the same instant as keying the mic. Also, on this setup, the PTT works in two directions, pushing forward to talk on the VHF radio (perhaps to forces on the ground or to other aircraft in formation) and pushing the same switch backwards to talk on the UHF radio (perhaps to an AWACS or tanker aircraft). (The diagram also shows "In" and "Out" positions, pushing that switch to the right or left. I'm not sure where those transmissions would go.)