Goretzka was heavily linked with Barca and Bayern chairman Karl-Heinz Rummenigge claimed in January that only their offer stopped the 23-year-old leaving the Bundesliga for La Liga.
And Goretzka himself is confident he made the right choice in moving to the Allianz Arena.
"That was an honour, of course," he told reporters when asked about Barca's interest. "I had several options and took a lot of time for my decision and believe that I have made the best choice with Bayern.
"I see myself as a No.8, but I'm flexible. I'm ready to play in different positions.
"I have a very positive impression of [head coach Niko] Kovac. Everything else will come over the next few days."
He admits it has taken some time to get over the disappointment of the campaign in Russia.
"I thought about the World Cup a lot," he said. "It was helpful to have people around me. My mum and dad have always supported me."
Much of the post-tournament discussion has been dominated by Mesut Ozil's decision to retire from international football, citing what he considers to be unfair treatment at the hands of the German Football Association (DFB).
Ozil's accusations of racially-motivated criticism of his performances have prompted a fierce debate within Germany, but Goretzka is unwilling to become embroiled in the topic.
"The people who wanted to say something have done so," he said. "I want to concentrate on Bayern. Personally, I don't want to comment on it."