Earlier career Before signing for
Chennai City in the Indian top flight, upon some unsuccessful trials with various teams, he worked as an English teacher for
monks. In 2018, he signed for
Chennai City FC in the Indian
I-League, where he made one league appearance before joining
Real Kashmir. On 9 March 2019, Chennai City beat former champions
Minerva Punjab FC 3–1 to be crowned the
2018–19 I-League champions. With Real Kashmir, he played in 2019–20 I-League season.
Mumbai Kenkre On 1 September 2021, Tenzin signed for
Mumbai Kenkre ahead of the
I-League Qualifiers. Though the team missed out on promotion to the
I-League, they eventually replaced
Chennai City after they failed to comply with club licensing regulations. On 4 March 2022, he made his first appearance in the
I-League for the club, against his former club
Real Kashmir, in a 1–1 draw. He was awarded the Hero of the Match for his outstanding display against
Rajasthan United, on 25 March 2022, in 0–0 stalemate. The club finished in bottom after the phrase-1 and placed in relegation stage, achieved only 12 points and relegated to the
2022–23 I-League 2nd Division. Later in September, Kenkre was reinstated on sympathetic grounds by the
AIFF and allowed to participate in the
2022–23 I-League season. They later went on to participate in Baji Raut Cup in
Odisha, in which they reached semi-finals. ==International career==