Barron was named to the East Region's All-America first team in 2019-20 after leading the Big Red in scoring for a second straight year. It made him the first Big Red forward to earn All-America honors since Matt Moulson '06 did so in 2005. He was also the first forward among first-team selections since Joe Nieuwendyk in 1987. The junior captain led the team in goals (14) and points (32) and was chosen as one of 10 finalists for the Hobey Baker Memorial Award. The ECAC Hockey Player of the Year was a two-time ECAC Hockey and Ivy League first-team selection. He accrued 84 points on 34 goals and 50 assists in 98 games before his junior season culminated before the playoffs, due to concerns about the imminent COVID-19 pandemic. Following the conclusion of the season, he signed with the New York Rangers.
