However, in Pailan's first match of the 2012–13 overall season, on 25 August 2012 in the 2012 Durand Cup, Narzary scored against Delhi United, which ended in a 2–2 draw after the final whistle.

[10] Narzary then scored his second goal of the tournament against Shillong Lajong on 23 September 2012 in the 17th minute, as Pailan Arrows won the match 2–1 but were still knocked-out of the cup on point difference.

[13] He scored his fourth goal of the season on 1 December in a comfortable 4–1 victory over ONGC FC, when the match was drawn until the 25th minute.

[17] So on 26 October 2013, it was announced that Narzary, along with Alwyn George, Narayan Das and Pronay Halder had been loaned to Dempo SC for the 2013–14 I-League season.

[18] Narzary played his debut match for the club on 1 November 2013 in a 0–0 draw against Mohun Bagan as a substitute for Gabriel Fernandes.

[27] After the 2014–15 I-League season, Narzary left Dempo and went on for loan at Indian Super League side NorthEast United FC, on where he signed a permanent contract afterwards.

[28] Narzary was loaned to the newly formed FC Goa for the inaugural season of the Indian Super League.

[30] He played his last match for the club against Atlético de Kolkata (later ATK) on 10 December, which ended in a 1–1 draw after final whistle.

[35] Narzary left Dempo and signed a permanent contract with NorthEast United for the 2016 Indian Super League season.

[42][43] Narzary signed for then I-League club DSK Shivajians on loan from NorthEast United after the 2016 ISL campaign.

[54] He returned to the Blasters for the 2019–20 season,[55] and on 12 January 2020, he scored the winning goal against rivals ATK, as the game finished 1–0 in favor of Kerala.

[57][58] In January 2019, Narzary signed for Chennaiyin FC on loan from Kerala Blasters for the rest of the 2018–19 ISL season.

[62] In August 2020, Narzary signed for two-year deal with Hyderabad FC that lasts till the end of the 2021–22 season.

[70][71] Narzary was called-up for the India national football team to make his senior debut by representing them in the 2018 FIFA World Cup qualifiers.

[76] He scored his national debut goal in the friendly match against Bhutan on 13 August 2016, which ended in a comfortable 0–3 victory for India.

[83] He played his debut match in AFC Asian Cup tournament, and also his first of the 2019's edition on 6 January 2019,[84] where India outplayed Thailand, and dismantled them with a score of 1–4.

[96] On 2 October 2019, Narzary married Geetanjali Deori of Barpeta as per the Bodo tradition at Batabari village in Kokrajhar district of Assam.