Guardiola's decision has also gone down well with others at the Nou Camp.
Barca sporting director Andoni Zubizarreta said: "I'm very pleased for Guardiola. It means that he's doing well and that he's well rested, it means that he's eager to return to the world of football. Bayern have made a great signing.
"Bayern are a club that can offer you a solid and stable project, they also have good players. He's found what he was looking for and I'm happy.
"I'm sure that he will bring something new and will oblige all of us to move forward."
Club captain Carles Puyol said on his club's website: "They (Bayern) are a very good team and he is a great coach. He's going to one of the greats in Europe and we wish him the best."
Midfielder Javier Mascherano added: "It was expected that Guardiola would coach a great club and Bayern are one of them. They have great German players and style of play and philosophy similar to which you find here."