He is also being targeted by the FA for their fast-track coaching scheme to get his badges before management.
Lampard, who spent 13 years at Stamford Bridge, is keeping his options open although Chelsea are believed to be keen to offer him a coaching role.
LA Galaxy are thought to be impressed with Lampard’s end of season formAP:Associated Press
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Antonio Conte was coy on the matter, but did not rule it out. He said: “Frank Lampard has been a great player, a fantastic player for Chelsea. He won a lot with this team.
“But now for me he’s still playing and for this reason I don’t know his future. I repeat: he has been a fantastic player, a legend for this club. I have great respect for him.
"For me it’s very difficult to reply to the question when the question starts ‘if’. It’s important to know."
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