Hazard, who used to play for Lille, attracted the attention of Chelsea, Arsenal, Manchester United and Manchester City when he decided to pursue a career in the Premier League.
However, Chelsea triumphed in the end as it is understood that they offered Hazard a 32 million pound contract.
But, for Wenger and Arsenal, paying a player 150,000 pounds per week at that stage was just not feasible.
"I have no big regrets because, at the time, there was so much so much money involved we could not afford it, and not defend it, honestly," Wenger said during a press conference. "It was linked with all the environment. It was not feasible for us financially."
Meanwhile, Wenger also expects midfielder Alexi Sanchez, who was allegedly signed for 35 million pounds last summer, to be a strong contender in the race to win the PFA Player of the Year award.
"He should run him [Hazard] very close," Wenger said. "He has had a big impact and let's remember, it is not the first season [in England] for Eden Hazard. For Alexis Sanchez it is his first season.
"If Alexis doesn't make it this year, he will give him a fight for next season. He is my choice for Player of the Year, but only because he is my player."