The 19-year-old has long been linked with a move to the Gunners, but French legend Zinedine Zidane has recently urged Real Madrid to make a move for the Belgium international.
“I could have gone last June, but I was not ready to make that big leap,” Hazard said.
“Recently the press have been writing about interest from Liverpool, and it is nice to hear your name being mentioned everywhere, especially with the best teams in the world.
“If I do leave at the end of the season, I don’t want to go somewhere where I will be on the bench.
“I am young, not 20 until next month, and it will be difficult to break through in a team like Real, where (Cristiano) Ronaldo and Kaka are my competitors.
“But there are teams like Arsenal, where youngsters can grow more easily into the first team and make their mark.
“I will not leave for another French club, because, with 100 matches under my belt for Lille. I don’t think I have to prove my qualities for a team in the same league.”