Bale moved from Tottenham to Madrid in a world-record ??85.3m deal in September 2013 and has been a key performer in their run of 22 straight victories in competitive matches.
Real president Florentino Perez warned on Tuesday Bale would not be allowed to leave the Bernabeu at any price and the player himself insists he is happy with life in the Spanish capital.
“Go to Manchester United? I am very happy in Madrid, a city, a climate and a club that I love,” Bale said on the club???s mid-season tour to Dubai.
“My contract ends in 2019 and I could sign a renewal. I am very happy at Madrid and I hope to win many more titles in the future.
“It has been a fantastic year for me. I wanted to come to Real Madrid to win titles and work alongside the best players and that is exactly what I have done in a single year.
???I hope that we keep improving, winning more titles and that I can keep giving my all.”
Bale also paid tribute to team-mates Cristiano Ronaldo and Karim Benzema, who have scored 57 goals between them this season.
“He (Ronaldo) is an impressive player,” added Bale.
“Everybody knows what he is like – it is great to be playing alongside him. What he does so that the team can keep winning and improving is fantastic.
“The forwards we have are extremely good. The three of us really like playing together. We work very well together, as we demonstrated last season with the titles we won.
“The potential we have up front is fantastic and we want to keep improving.”