There are three taming methods for early game and one for late game

1: (requires a flyer) get on any flyer(petra or argy) jump off and either grapple your flyer while it follows the quetz or use parachute with longneck on low lvls

2: (requires a tape) get on your tape and make it follow the quetz then switch to backseat and shoot it

3: (requires a tribe mate and a flyer) get your tribe mate to pick u up with the flyer and you shoot at the quetz

4: (requires a griff) get on griff and shoot the quetz (u can use weapons on the back of a griff) this is the best single player method