Luthra joined the youth academy of
Crystal Palace in 2010, and debuted with their U18s at the age of 15. On 2 June 2020, he signed his first professional contract with Crystal Palace. On 20 October 2020, he joined non-league club
South Park on loan. On 22 June 2021, he moved to the youth academy of
Cardiff City. On May June 2022, he extended the contract with Cardiff City. On 11 March 2023, he made his professional debut with Cardiff City as a late substitute in a 2–0
EFL Championship loss to
Preston North End. In doing so he became the first
goalkeeper of South Asian descent to play in the Championship. On 24 August 2023, Luthra joined
National League South side
Slough Town on loan until the end of the season. In July 2023, on a pre-season tour of Portugal, Luthra was
racially abused by teammate
Jack Simpson, who left Cardiff by mutual consent a month later. Simpson was fined £8,000 and banned for six games by
the Football Association after a hearing in November. At the end of the 2023–24 season, Luthra was released by Cardiff at the expiry of his contract in June 2024. In July 2024, Luthra went on trial at
Derby County. On 7 August 2024, he signed a one year contract. On 1 April 2025, Luthra joined
Spennymoor Town on an emergency loan, making his debut for the
National League North side on the same day. He helped his side reach the
FA Trophy final, after a penalty shootout victory over
Rochdale. On 16 May 2025; it was announced by Derby County that Luthra would leave Derby County upon the expiry of his contract in June 2025. On 27 January 2026, Luthra signed for
National League North side
Bedford Town. On 26 February 2026, Luthra joined
National League South side
Eastbourne Borough. ==International career==