The owner of the car before me had removed the badges, however there is still some residue where the "3.2TL" used to be. I am worried that if I use goof-off or something similar it will ruin the paint. Any suggestions?

 

goof- off will work if not use some polishing compound or something more aggresive like rubbing compound and wax it.

 

goof off wont hurt paint at all-
alchohol- plan on rewaxing but effective
heat gun and mayonaise, no kidding!

 

Yea i used goo-gone for mine and it worked fine just had to use a little elbow grease to scrub the rest of the residue off.

 

If it's that stubborn use Goof-off. Or you could try Turtle Wax bug & tar remover.