Al-Shammeri started his career at Al-Shabab and was first called up to the first team during the 2018–19 season. On 30 June 2019, Al-Shammeri was chosen in the Saudi program to develop football talents established by General Sports Authority in Saudi Arabia.[3] On 13 October 2020, Al-Shammeri joined Al-Tai on loan for the 2020–21 season.[4] He scored four times in 33 appearances as Al-Tai earned promotion to the Pro League.[5] He returned to Al-Shabab following the conclusion of his loan and signed a three-year deal with the club on 21 July 2021.[6] He made his debut for Al-Shabab on 12 August 2021 in the 2–1 defeat away to Abha.[7] On 15 August 2021, Al-Shammeri joined Al-Hazem on loan.[8] On 4 August 2022, Al-Shammeri joined Damac on a season-long loan.[9] On 7 September 2023, Al-Shammeri joined Abha on a two-year deal.[10]