A.C.
Hi -
Here are responses to a similar question from mampedia - http://www.mamapedia.com/questions/16068359043864854529
the poster said she "... was able to safely remove it with no damage by ... freezing and scraping.. WD-40 and more scraping.. and burned off the residue."
one though may sure you vent when burning off residue (plastic fumes are toxic).
How to Clean Melted Plastic Off a Stove Burner (Electric or Gas Standard Cook Tops) http://www.ehow.com/how_###-###-####_melted-plastic-off-s...
Step 1
Allow the burner to cool completely, then use a paring knife to lift off any larger areas of hardened plastic.
Step 2
Turn on the ventilation fan, and turn the burner on high to burn off any remaining thin strands of film that you couldn't get with the knife.
Step 3
Using the paring knife, you can also scrape off melted plastic while the burner is still on. Just remove as much plastic as possible while it is still pliable, then turn the burner on high and burn off the remaining residue.
Step 4
Working with gas burners, it may be easier to remove the plastic in the sink, with hot water and a scratch pad. Don't forget to allow the burner to cool completely before attempting to move it.
Good luck!