The Croatia international has frequently been linked with the Old Trafford club, while Inter Milan are also said to be interested.
However, the 31-year-old made his intentions clear after helping Barça clinch the Liga title with a 1-0 win over Levante on Saturday.
"I don't want to be anywhere else," he told Marca.
"I hope the club, the president, the coach and the fans see this the same way I do.
"I hope they tell me that I'll stay here for another three years.
"I'd like to be able to point to the three more years on my contract and to say I'll be here three more years.
"Anything can happen in football, but I am very calm about it all."
Rakitic has scored five goals and contributed six assists in 48 appearances across all competitions for the club this season.
Read more...
5 things Manchester United must do to move forward as a club
How Nemanja Matic shows up everything wrong with Jose Mourinho’s reign at Manchester United
‘Scoring in a World Cup is like winning the title – can you imagine millions of people celebrating something you did? It’s insane and made me very proud’: Brazil legend explains how much 2002 goal meant to him
'He already had the ability but didn’t use it because he was afraid to shoot – I said, "You’re a player who has to decide games – you have to take risks, mate"': Liverpool star was forced to become confident by team-mates
