The 30-year-old, who has been in sparkling form of late netting four times in the past two matches, has two years left on his current deal after signing from Atletico Madrid in January 2010 and he is keen to prove his worth in the future.
“I am really happy here,” Maxi told the Post.
“The people have treated us really well. The type of life we have here, the way of life, is very different to what we were used to after nine years in Spain but I am enjoying everything.
“How can you not enjoy it? I am at a great club and it is great to play here.”
Foxes' January recruit Kamal Sowah says although Bayern Munich and Man City were interested, Leicester wanted him the most.
Reports claim that Arsenal are set to move for on-loan Lyon midfielder Tanguy Ndombele at the end of the season.
Ben Chilwell insists the Leicester City squad are focused on finishing the season well in order to qualify for the Europa League.
Swansea City are confident Carlos Carvalhal will be head coach of the team next season, no matter what division the club are in.