You can completely say:
Jelaisse ré parer mavoiture à mon copin. It means that I entrusted my car to my male ticket for repair.
If necessary, for example, if you happen to be a man and you don't want others to misunderstand your friendship, you want to use pronouns to refer to your male ticket. You should say:
Jelui Laisse ré parer mavoiture.
If necessary, for example, you don't want others to know that you have a car and come to make friends with you, and you want to refer to your car with pronouns, you should say:
Je la Laisse ré parer à mon copin.
If necessary, for example, you don't want others to know what you really want to say.