Syndergaard will try to make his case to stay up with the New York Mets on Friday night, while Cole looks to move into a tie for the major league lead with his sixth victory for the host Pittsburgh Pirates.
"It'll be exciting," Syndergaard said.
Syndergaard (1-1, 3.18 ERA) is poised to join Matt Harvey and Jacob deGrom as a permanent fixture in New York's talented rotation. He was given an early audition for a spot this month when Dillon Gee went down with a groin injury.
In his much-anticipated debut, the right-hander allowed three runs over 5 1-3 innings of a 6-1 road loss to the Chicago Cubs on May 12. On Sunday, he gave up one run, three hits and one walk over six innings of a 5-1 home win over Milwaukee.
With Gee expected to be ready to return after one more rehab start, Syndergaard could be facing his final opportunity to force the Mets to make a difficult decision.
"I would love to stay," he told MLB's official website. "Nobody wants to be pitching at Triple-A. The ultimate goal is to be pitching in the big leagues."
The Mets (24-18) have won four of six. Lucas Duda hit two home runs and Michael Cuddyer added three hits in Thursday's 5-0 home victory over St. Louis that gave New York a four-game split of the series.
Duda has batted .372 in his last 12 games and has a 10-game hitting streak at Pittsburgh.
He's 1 for 3 against Cole (5-2, 2.40), who can tie four others for the major league lead in wins. Nobody has more victories than the right-hander since Sept. 7 - a stretch in which he's gone 9-2 with a 2.64 ERA over 13 starts.
Cole allowed two runs over six innings of Saturday's 4-1 road loss to the Cubs. He's given up two home runs in 48 2-3 innings in 2015.
However, he's posted an 8.00 ERA in dropping his two home starts against New York.
Pittsburgh (18-22) is 0-2 on its eight-game homestand after Wednesday's 4-3, 13-inning loss to Minnesota. The Pirates have scored three or fewer runs five times in a 1-6 stretch, during which the rotation has posted a 5.30 ERA.
"Nothing's played the way we wanted it to," manager Clint Hurdle said. "We've had glitches in every category right now, hence our record ... We've got a lot of work in front of us."
Josh Harrison has been a bright spot, going 16 for 29 over his last six games. Andrew McCutchen, who went 3 for 5 with a home run Wednesday, is batting .379 during eight-game hitting streak against the Mets.
The Pirates have won five of the past seven home matchups.
New York is playing its only road games in a stretch of 13 of 16 at home.