Our G35's have under engine cover right?
 

Because I just hit one of those lane seperators while exiting tim hurtons..arghh ...I didn't realize it because usually they put signs on those thing like no left turn etc. but this one had nothing on it and it wasn't high so it was very hard to see. It was low enough that my lowest bumper wasn't even damaged but I heard very bad squeaking sound.

I imagine it got to the cover under the engine.

Luckily, I got on top of it not even halfway so I guess the only damage was done to the under engine cover. I am just afraid there might have been damage to other stuff under there.

the car runs normally and no problems so far.

what do you guys think, should I get it checked out from dealer?

You're probably ok but it's pretty easy to take it somehere where it can be hoisted and checked out for peace of mind.