Skundrich was selected 40th overall by the LA Galaxy in the 2018 MLS SuperDraft, and he signed his first professional contract with the Bethlehem Steel (now Philadelphia Union II) in the USL Championship on March 14, 2018. In his first season in the USL, Skundrich scored two goals and recorded three assists in 28 USL appearances including two appearances in the USL playoffs. Following his successful first season, Skundrich signed with fellow USL side, Sacramento Republic, on Dec. 10, 2018. In two seasons with the Republic, the midfielder scored four goals and recorded five assists in 49 appearances across all competitions. After his stint with Sacramento, Skundrich signed for Loudoun United FC on Feb. 8, 2021.
Prior to his professional career, Skundrich played four years of collegiate soccer at Stanford University in the National Collegiate Athletic Association (NCAA) Division I from 2014 to 2017. During his time at Stanford, he made 82 appearances, scoring nine goals, and recording 13 assists. The midfielder, who served as team captain during his junior and senior year, played an integral role in Stanford’s three consecutive NCAA Division I National Championships (2015-2017) and was named to the All-Pac-12 First Team and Top Drawer Soccer Best XI Second Team in 2017.