The 58-year-old boss insists his team will be doing all they can to aid the Gunners' bid to finish top of their Champions League group by getting a result against Schalke
Despite Arsenal and the German side already guaranteeing a safe passage into the last 16, top spot – and the subsequent favourable seeding in the next draw – is still undecided.
Eliminated pair Montpellier and Olympiakos now have a big say in who claims first place, and Girard insists he will be doing all he can to help Arsenal.
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"This game [Arsenal] was perhaps beyond our possibilities due to the injuries and the absence of important players." he told reporters.
"But I'm very proud of my players. We play Schalke next and if we can help our friends of Arsenal, we will."
La Paillade's exit from the competition was confirmed on Wednesday night after goals from Jack Wilshere and Lucas Podolski saw Arsenal cruise to a 2-0 victory over the French champions, leaving the manager to bemoan a lack of consistency.
He added: "On the 90 minutes of the game, we lacked consistency. We made a good first half in playing and in being agressive even if we lacked presence up front.
"It became hard when we started getting tired."