Veronneau, 24, has appeared in four games for the Senators this season after recording two goals and two assists in 12 games with Ottawa in 2018-19. He has also skated in 33 games with the Belleville Senators in 2019-20, recording 10 points (5-5-10). Prior to signing with the Senators, Veronneau skated in 130 games with the Princeton Tigers (NCAA) from 2015-19, recording 52 goals and 92 assists for 144 points, which ranks fourth all-time in Princeton history. He was a Hobey Baker nominee in both 2017-18 and 2018-19.

Veronneau signed a two-year entry level contract with Ottawa on March 12, 2019.