Actually, Hellcats were used in Operation Dragoon, the invasion of Southern France, from carriers such as the USS Tulagi and there saw action against the Luftwaffe .
F6F-5 8 flown by Ens Alred R. Wood & Ens Edward W. Olszewski of VOF-1, USS Tulagi, August 1944
I am familiar with that account of Hellcats in Southern Europe, but I guess I should have clarified, I am not aware of any dogfighting between the F6F and Luftwaffe front line fighters.