Remick spent all four years of his college career at Brown University. While at Brown, he was a member of "Los Banditos". He majored in biology and pre-med studies while at Brown. Remick had played in high school as a centerback, was switched to a leftback in his freshman year at brown. In his freshman year, he made 17 appearances for the Bears and finished the year with two goals and an assist. In 2010, Remick started all 20 games for the Bears and helped lead a defense that shutout 11 teams during the campaign and allowed just one goal in the first 11 games and 12 overall during the season. He went on to be named First Team All-Ivy defender in 2010. In 2011, Remick missed four games due to injury but he did manage to make 16 appearances for the Bears and tallied two goals and two assists. His two goals came in the NCAA Tournament. The first one came in Brown's upset win over ninth seeded St. John's in the second round. The other one came in Brown's 3-2 overtime defeat in the Sweet 16 to Saint Mary's. Remick was named First-team All-Ivy for the second year in a row, as well as First Team All-ECAC honoree and an All-Northeast Region selection. In 2012, Remick appeared in 18 of Brown's 19 games finished with two goals. He was also the team leader in assists with seven and tied for third on the team in points with 11. Remick would again be named First-team All-Ivy in 2012. He was also named Second Team All-American by the NSCAA, making him the first Brown soccer All-American since Jeff Larentowicz in 2004. Remick also played for Worcester Hydra in the USL Premier Development League.
Professional
On January 17, 2013, Remick was selected in the second round of the MLS SuperDraft by Seattle Sounders FC. Just over a month later, Remick signed a professional contract with the Sounders prior to the start of the 2013 season. On May 29, 2013, Remick made his professional debut for the Sounders in a 1-0 defeat to NASL side Tampa Bay Rowdies in the third round of the Lamar Hunt U.S. Open Cup. On December 12, 2016, the Sounders declined Remick's contract option for the 2017 season. On December 16, 2016, Remick was selected by Houston Dynamo in the Re-Entry Draft Stage 1. He scored his first career MLS goal on April 1, 2017, a headed shot against the New York Red Bulls in his second start for the Dynamo. On June 14, Remick scored once to help Houston to a 3-2 win over North Carolina FC in a US Open Cup match. In the 2017 MLS Cup Playoffs, Remick scored against the Portland Timbers in the second leg of the conference semifinals to tie the match and give Houston the lead on away goals. Houston would go on to win 2-1 and advance to the Western Conference Finals, where they ultimately lost to the Sounders. Remick missed the 2018 season after suffering a concussion in preseason. His contract option was declined by the Dynamo in November and Remick announced his retirement from professional soccer on December 2, 2018.
