Galchenyuk signed a two-year contract with SKA St. Petersburg of the KHL on Friday.
Galchenyuk announced Tuesday that he has entered into the NHL/NHLPA player assistance program.
Galchenyuk was arrested Sunday on a number of charges, Katie Strang of The Athletic reports.
Galchenyuk was put on unconditional waivers by Arizona on Thursday for the purpose of terminating his contract.
Galchenyuk signed a one-year, two-way contract with Arizona on Saturday.
Galchenyuk was traded to Nashville from Colorado on Saturday in exchange for Ryan Johansen.
Galchenyuk was assigned to AHL Colorado on Friday.
Galchenyuk was recalled from AHL Colorado on Friday, Meghan Angley of DNVR Avalanche reports.
Galchenyuk was given nine shifts and 4:08 of ice time in Thursday's 5-4 win over Ottawa.
Galchenyuk was promoted from AHL Colorado on Tuesday.