The 23-year-old is at the top of the Ligue 1 scoring chart and Arsenal boss Arsene Wenger could make a move for him at the end of the season.
Gignac said: “Seeing your name linked to prestigious clubs is always good but my career at the highest level has just started.
“I need to prove myself before moving abroad. I keep my feet on the ground and keep on working hard to play well for Toulouse.
“Nevertheless, I like English football and watch it a lot on television.”