The Jets (6-8) were eliminated from playoff consideration by losing 14-10 Monday to the Tennessee Titans. New York committed five turnovers -- four interceptions on passes by Sanchez.
The team announced the change via Twitter.
The start would be the first of McElroy's NFL career. He was drafted by the Jets in the seventh round of the 2011 but has appeared in just one game. He's completed 5-of-7 passes for 29 yards and one touchdown.
McElroy was the quarterback on Alabama's 2009 Bowl Championship Series winning team. He was on injured reserve through 2011 and was inactive for 13 games this season.
Sanchez in the last three weeks has thrown seven interceptions and lost two fumbles with just one passing touchdown. New York, however, won two of the three games.
By going with McElroy, Jets Coach Rex Ryan passed over Tim Tebow, who was signed by the Jets in the off-season after playing for the Denver Broncos. The Broncos released him after signing Peyton Manning.
He's appeared 11 games this season but only in certain situations. He's rushed 32 times for 102 yards attempted just eight passes, completing six.