The 32-year-old’s deal at the Etihad expires at the end of the season and talks are yet to start about an extension.
Blues boss Thomas Tuchel is an admirer of Aguero and could be in pole position to sign him as he grows frustrated with life in Manchester.
Pep Guardiola has said he will think about Aguero’s future during the upcoming international break.
But the former Atletico Madrid man was overheard complaining to goalkeeping coach Xabi Mancisidor at the end of Tuesday’s Champions League win over Borussia Monchengladbach: “They don’t pass me the ball”.
City’s all-time top scorer has suffered an injury-disrupted season, making eight Premier League appearances and scoring one goal, in a 3-0 win over Fulham last weekend.
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