"It was good to meet and actually talk to him. He had some nice things to say to me," the 23-year-old told reporters.
Kagawa has been widely linked with a seven million pound transfer to the Premier League runners-up by British media, but said he was still considering his options.
"There's no timetable on my decision. I've been in touch with a number of clubs, and I can't say which one is the best for me yet.
"But I want to go to a team where it'll be challenging for me. It'd be nice if I end up playing in the Premier League."
"The fans embraced me as if I'd been there for a decade and not just two years," he said of his spell in Germany. "I really felt loved. I was blessed to have the manager and team-mates I did. The coach told me I could come back any time I wanted to."
Kagawa had said previously that he would decide on his future after Saturday's German Cup final, where he scored the opener in Dortmund's 5-2 thumping of rivals Bayern Munich.
