Murphy played club soccer as part of the FC Golden State academy, helping the team to the finals of the Dallas Cup in 2014–15, and a first-place finish in the Southwest Division of the Western Conference in 2016–17.

During his time at Duke, Murphy made 69 appearances for the Blue Devils, scoring three goals and tallying seven assists.

He was named to the ACC Academic Honor Roll on three consecutive occasions, was Duke's Defender of the Year in 2021, and was Third Team All-South Region in his senior season.

[4] On December 9, 2024, Murphy was traded to Colorado Rapids alongside Chidozie Awaziem in exchange for $1 million in General Allocation Money.

[5] In January 2024 he was selected for the senior United States squad for a match against Slovenia.