Rychel signed a one-year contract with Neftekhimik (KHL) on Tuesday, Igor Eronko of Sport-Express reports.
Rychel inked a one-year deal with Swedish club Orebro HK on Sunday.
Rychel didn't receive a qualifying offer from Calgary, making him an unrestricted free agent.
Rychel was reassigned to AHL Stockton on Thursday.
The Flames recalled Rychel from AHL Stockton on Sunday.
Rychel was waived by the Flames on Wednesday, TSN reports.
Rychel inked a one-year, two-way deal with the Flames on Monday.
Rychel was acquired by the Flames from the Canadiens in exchange of Hunter Shinkaruk on Monday.
Rychel was reassigned to AHL Laval on Sunday.
Rychel had a goal, one shot, five hits and a two-minute minor penalty over 10:14 of ice time in Tuesday's 5-4 overtime loss to the Jets.