"This has been a cultural learning experience that will make me a more sensitive person."
Turner Scott Motorsports said in a statement it had addressed the issue with Piquet, who understood the team does not tolerate such remarks.
"Nelson has assured the team that he has learned his lesson and he knows what it means to represent TSM," the statement said.
Earlier this year, NASCAR suspended Nationwide Series driver Jeremy Clements for two weeks for using a racial slur. Clements made the remark to a blogger for MTV News during an interview at Daytona. NASCAR learned of the comment from a witness, suspended Clements indefinitely and also ordered him to see a sports diversity expert.
Meanwhile, NASCAR also on Tuesday penalized Penske Racing because Joey Logano's race-winning Nationwide car at Dover failed post-race inspection on Saturday.
Crew chief Jeremy Bullins was fined $10,000 and team owner Roger Penske docked six championship car owner points because the front of the car was too low.
Penske Racing said in a statement the car failed inspection because a spring retaining screw came unscrewed.