My car when it gets hot has trouble starting. It makes a clicking noise.

The clicking noise was coming from the starter so we had the starter replaced. The car starts up but when you drive it than turn it off it won't start again right away. We'll get the clicking noise again. If we let it sit for a while than it will start up.

sounds like you either have a bad connection somewhere or a defective starter check your battery cables

The starter is brand-new. We just bought it two days ago. It's doing the same thing with the new starter as it did the old one. The one wire was corroded and we clipped the fitting part off and put a new fitting on.

is the starter brand mew or a rebuilt

Brand new

if the starter isnt too hard to get out then I would pull it out and bench test it ...