[4] Together with Lucien Huteau, Gaston Peltier, Georges Garnier, and captain Eugène Fraysse, Lambert was a starter in the Club Français team that won the 1896 USFSA Football Championship without losing a single match, pairing with Daumy at the back,[5] and they formed a strong defensive partnership as they conceded just two goals in eight matches: one against Rovers (4–1 victory on 23 February) and one against Standard AC (4–1 victory on 15 March).

[6] On 26 December 1897, Lambert started in the very first football match in the history of the Parc des Princes in front of 500 spectators, in which Club Français was defeated 1–3 by the English Ramblers.

[7] On 28 March 1898, he started in the 1898 Coupe Manier final at the Vélodrome de Vincennes, in which his "superb play" helped his side to a 10–0 win over Paris Star.

[9] In the following year, on 16 April 1899, he started in the play-off match against Standard AC to decide the 1898–99 USFSA Paris championship [fr], which ended in a 3–2 win.

[11] Later that year, on 23 October, Lambert captained Club Français in the 1899 Coupe Manier final at Suresnes, helping his side to a 6–0 win over RC Roubaix.