In his lone appearance this season, Langhamer turned aside all 10 shots he faced versus the Vegas Golden Knights on Nov. 25.
Langhamer has recorded a 1-0-2 mark with a 1.59 goals-against average and .947 save percentage in three games this season with the Roadrunners.
The 23-year-old Czech was selected by the Coyotes in the seventh round of the 2012 NHL draft.
Hanley did not record a point in four games with the Coyotes this season. The 26-year-old Ontario native notched four assists and two penalty minutes in nine games this season with Tucson.