Born in Saint-Mard,[1] a village nearby Virton, Lesquoy began his career at the main club of the city, RE Virton, where he made his first-team debut on 28 February 2014 in the Belgian Second Division matchup against Eendracht Aalst which ended in a 3–0 loss. He was in the starting lineup but was sent off in the 55th minute.[2] In the 2015–16 season, he was a regular starter for Virton. In that season, this club relegated from professional football, as the second tier in Belgium was reduced from seventeen to eight clubs.[3] Because of this, Lesquoy played for three more years in the third-tier Belgian National Division 1, where Virton was able to win promotion in the 2018–19 season.[4]
After achieving promotion, Lesquoy moved to F91 Dudelange, the defending champions of the Luxembourg National Division.[5] He made his European debut at the club, as he appeared in the UEFA Europa League against APOEL, Sevilla and Qarabağ.[6]
In 2020, Lesquoy signed a two-year contract with Dutch Eerste Divisie club Almere City FC as a free agent.[6] He made his debut for the club on 30 August in a 0–0 home draw against MVV, starting at left back and playing the entire match.[7][8] In the following match, a 6–4 shootout win over Excelsior, Lesquoy provided an assist to Thomas Verheydt for the opening goal.[9] He suffered a foot injury in September, which sidelined him for a month.[10] He made his return to the pitch in a 7–2 loss to fellow Eerste Divisie title contenders SC Cambuur on 15 November, coming on as a halftime substitute for Delvechio Blackson.[11]
Lesquoy signed for Armenian Premier League club Ararat-Armenia on 28 January 2022 on a six-month contract.[12][13]
On 19 June 2022, Willem II announced the signing of Lesquoy to a two-contract.[14] He made his competitive debut for the club on 19 August, starting at left-back in a 2–1 home win against Telstar.[15]
On 31 January 2023, Lesquoy returned to Virton.[16]