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AC Milan Kerala Academy technical director Alberto Lacandela handed over the jersey to Vijayan during a meeting at the Kozhikode guest house.
Olivier Giroud scored a brace as Milan defeated Sassuolo 3-0 on the final day.
The 54-year-old's clientele included Zlatan Ibrahimovic, Erling Haaland and Paul Pogba.
The veteran star sustained a knee injury while playing for AC Milan against Juventus
The 38-year-old Swede pulled up during Monday's session, AC Milan confirmed on Tuesday.
Media reported on Wednesday that Ibrahimovic had acquired a stake in Hammarby, prompting angry reaction from fans in Malmo, where he was born and started his professional career.
Ibrahimovic had said he intended to make Hammarby the biggest club in Scandinavia, angering many of his former fans at Malmo FF, where he first made his name.