Griezmann has announced his plan to leave Atletico after five years, with LaLiga champions Barca emerging as the favourites to sign the French World Cup-winning forward.
The 28-year-old turned down a move to Barca last year but Rakitic would relish the opportunity to team up with Griezmann.
"He is a top-level player, [among] the best in the world, and of course I would love to have Griezmann on my team," Rakitic told Mundo Deportivo.
"He is a great professional who has won almost everything and that surely can add to any team."
Rakitic's future is also uncertain amid links with Serie A side Inter and Premier League giants Manchester United.
The 31-year-old has won four LaLiga titles – including back-to-back – and the Champions League since arriving from fellow Spanish side Sevilla in 2014.
But, with Ajax midfielder Frenkie de Jong set to join in 2019-20, Barca are reportedly open to selling Croatia international Rakitic.
Rakitic, however, dismissed the speculation by saying: "I cannot explain where this information comes from.
"I have great respect for all the teams, and Inter is a very important club that I faced this year in the Champions League.
"Some of my national team team-mates play for them, but I am right now where I want to be. If they are thinking of me, it is because my performances are positive, but I am happy at Barcelona. My family is also very well and I have no other thoughts."