The versatile attacker has hailed the signing of his Germany team-mate and believes the deal will prove to be good business for the Bavarians
The Bavarians announced last month that they have agreed personal terms with the 20-year-old and will meet his €37 million buy-out clause to complete the deal.
"It's a super transfer for Bayern. When you have the chance to sign a player like Gotze, you have to jump at it," Muller told TZ.
"It came as quiet a surprise to me as I was not aware of his exit clause. I was very pleased with the transfer, though. I know Mario from the national team.
"This shows yet again that Bayern are a pretty attractive option. Mario has not made the move to Barcelona, Real Madrid or England, but has decided to join Bayern instead.
"We have earned a lot of sympathy and play some excellent football. That's made Bayern a very interesting option."
Gotze is currently recovering from injury and is doubtful for the Champions League final between Bayern and BVB on May 25, meaning he may not play another game for the 2011-12 Bundesliga winners.