Souquet is a France youth international having earned caps with both the under-16s and the under-17 team, whom he played with at the 2009 UEFA European Under-17 Football Championship.

Souquet was born in Paris and began his career playing for CO Vincennois, the same club that produced the likes of Blaise Matuidi and Yacine Brahimi.

While attending the Vincennes-based club, Souquet had the opportunity to join both the famous Clairefontaine academy and the Parisian giants Paris Saint-Germain.

[6] Souquet was assigned the number 35 shirt and made his professional debut, as a starter, playing the entire 90 minutes.

[10][11] On 31 August 2018, the last day of the 2018 summer transfer window, Souquet joined Belgian First Division A side K.A.A.