Born in
Fukuoka, Muta signed with
Nagoya Grampus of the
J. League Division 1 from
Fukuoka University in January 2013. He made his debut for the club on 2 March 2013 against
Júbilo Iwata; he started the game, playing 66 minutes before being substituted for
Shohei Abe as Nagoya went on to draw the match 1–1. On 23 December 2015, Muta signed to
Kyoto Sanga from 2016 season. On 7 August 2017, Muta was loaned out to JFL club,
FC Imabari for during 2017 season. In Imabari, he participated in 10 league matches and returned to Kyoto in November at same year when the JFL season ended. Muta not renewal contract after expiration with club for four years at Kyoto in 2019. After leave from Kyoto, On 21 January 2020, Muta signed transfer to J3 club,
Iwate Grulla Morioka ahead of 2020 season. He leave from the club in 2022 after three years at Morioka, he was brought his club promotion to J2 for the first time in history from 2022 season, but after a season his club relegation to J3 from 2023. On 27 December 2022, Muta officially transfer to J3 relegated club,
FC Ryukyu for upcoming 2023 season. ==Career statistics==