Quarterback Bailey Zappe apparently wasn’t unemployed long.Multiple outlets reported Wednesday that Zappe, who was released Tuesday by the New England Patriots, will be signing the Kansas City Chiefs practice squad.Contract terms were not reported.Also Wednesday, NFL Network said the Chiefs were signing veteran running back Samaje Perine to their active roster.Zappe, 25, will join entrenched All-Pro starter Patrick Mahomes and backup quarterback Carson Wentz in the quarterback room.Zappe played in 14 games the past two seasons, starting eight, for the Patriots and was 4-4. He completed 63.2 percent of his passes for 2,053 yards with 11 touchdowns and 12 interceptions.While Zappe, 25, relieved an ineffective Mac Jones last season, he was buried on the QB roster this spring and summer behind veteran Jacoby Brissett and rookies Drake Maye and Joe Milton III. Maye was the No. 3 overall pick of the draft, while Milton was taken in the sixth round.Zappe was 15-of-25 passing for 137 yards in the preseason.