The Italy striker will be available this summer as he comes off contract at Adana Demirspor.
Aguero and Balotelli were together at the Etihad on Sunday to see City defeat West Ham and win the Premier League title.
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And during the game, Kun posted a message to Boca president Juan Roman Riquelme to social media: "Hi Romi, I'm with Balotelli and I'll tell you that his dream is to play with Boca.
"In June he'll be free, now he's all yours!"