De Bruyne has struggled with injuries, having missed almost five months of last season when City won their fourth consecutive Premier League title, playing just 26 games in all competitions, and has started just 19 matches this term.
Announcing his departure on social media earlier this month, he admitted "whether we like it or not, it's time to say goodbye", while City manager Guardiola added "it was not easy for me to tell him it [his City career] won't continue".
De Bruyne has not ruled out staying in the Premier League, but has also been linked with Major League Soccer in the United States.
"I feel like I still have a lot to give," he added. "Obviously I know I'm not 25 any more but I still feel like I can do my job.
"I'm open for anything. I have to look at the whole picture. I'm looking at sporting, family, everything together, what makes the most sense for me and my family.
"I like to play football. I like to compete. That's what I feel, so I can't say that I want to quit because I still feel that whenever I'm in training I want to beat the guys."
City host fellow Champions League hopefuls Aston Villa in their next match on Tuesday, before facing Nottingham Forest in the FA Cup semi-finals at Wembley on Sunday, 27 April.
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