Langhamer received a qualifying offer from the Coyotes on Monday, NHL.com reports.
Langhamer was loaned to Kometa Brno of the Czech Extraliga on Saturday.
Langhamer stopped all 10 shots he faced in relief of Scott Wedgewood in Saturday's loss to the Golden Knights.
Langhamer was recalled from the AHL's Tucson Roadrunners on Thursday.
Langhamer was sent down to AHL Tucson on Sunday.
The Coyotes recalled Langhamer from AHL Tucson on Friday.
Langhamer signed a one-year, two-way contract with the Coyotes on Monday, Craig Morgan of ArizonaSports.com reports.
Langhamer was reassigned to AHL Tucson on Wednesday.
Langhamer was recalled from AHL Tucson on an emergency basis Thursday, Craig Morgan of Arizona Sports 98.7 reports.
Langhamer was sent to AHL Springfield on Monday.