The 26-year-old, who joined from French club Le Havre for a bargain price in 2014, said he had agreed "to stay for another season" following "a good discussion with the chairman" after the Foxes won the Premier League last year.
Tony Adams fears Arsene Wenger's record-breaking reign as Arsenal boss could "end in tears" now he has signed a new deal.
Wenger, who has won the FA Cup three times in the last four years, showed how much the abuse had affected him last week when he spoke ahead of the Cup final.
"It could possibly all crumble around him (Wenger), and I think that would be very sad".
"From one human being to another human being, I hope it doesn't".
The former France global added: "I can only go with what Wenger is saying".
"When I went to Arsenal, we didn't play the most attractive football".
"I think in football, the judgements are so black and white that often, if you don't fire your manager, then you're seen as being unambitious", he added.
"I don't see a legacy", he admitted. "It would be so sad".
"The timing of the announcement [on Wenger's contract] should have been dealt with a lot earlier to get that out of the way and let people move on with stuff".
His key objectives for the close season will be to tie star duo Alexis Sanchez and Mesut Ozil to new contracts and strengthen his squad for the rigours of a Europa League campaign.
Arsenal chief executive, Ivan Gazidis, has revealed that the club made a decision to offer Arsene Wenger a new two-year deal, because "You don't fire world-class people".
Arsenal has bowed out in the Round of 16 the past seven seasons of the UCL, losing to Bayern and Barcelona a combined five times.
However, the club defeated Chelsea in the FA Cup final at Wembley - their third victory in the competition since the 2013-14 competition - and Wenger has now committed his future to the club, despite a swathe of fan protests throughout the season.
While he has been criticised for his transfer business in the past, Wenger has stated he is only looking for "top quality" players to improve the side and Henry said that his former manager's words could mean limited purchases.