Sterling has a year left on his contract at the Etihad Stadium, and has been linked with an exit, following a difficult season under Pep Guardiola. According to The Telegraph, his future will be decided after the European championship.
The England star scored the only goal in The Three Lions' win over Croatia, and justified his selection after sealing an important three points.
He also hinted at disarray at City, and insisted that his poor form for the Premier League champions is "irrelevant". "There are a lot of different reasons I haven't scored for my club and that's totally irrelevant now," Sterling said. "I'm here with England, I'm enjoying my football and that's the most important thing and I'm just happy to score.
"It feels good. I've always said if I play at Wembley in a major tournament, I'm scoring. It's great to finally do that. It's great to get off to a win. Now we have the games to look forward to and hopefully go into them and win again. It's been a long season for me, I couldn't wait to get started with England and I knew it would be a positive one."
Spanish giants Barcelona are believed to be monitoring the forward's situation, while Premier League rivals Arsenal and Tottenham are also interested. However, reports have claimed that both the north London rivals would find it difficult to match his wage demands.