The 44-year-old Tirkey, a player-turned-politician and administrator, is the country's most capped player with 412 international caps.
The Mumbai Magicians team, which is part of the Hockey India League, was shifted to Delhi on Monday, following the Shiv Sena protest that disrupted its practice session due to the involvement of Pakistani players.
Indian striker SV Sunil was reprimanded but escaped a ban for showing his middle finger to spectators after scoring the match-winner against Pakistan in the ongoing Azlan Shah Cup hockey tournament.