The former Liverpool captain told British newspapers that his next season with the Galaxy "will probably be my last year as a player."
Gerrard has been training at Liverpool under manager Juergen Klopp during the Major League Soccer offseason.
"I haven't had an offer (to coach) but the club have let me know they are keen for me to come back," the former England midfielder was quoted as saying Saturday.
Gerrard made 710 appearances for Liverpool in 17 years, scoring 186 goals.
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Former Liverpool and England captain Gerrard retires
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