The Colombia international made his first start since returning from serious injury to score the only goal of the game in the first half of the encounter in London, heading home a free kick from Joao Moutinho.
Despite his seven-month injury lay-off, Falcao is a transfer target for Real Madrid but Jardim insists that the 28-year-old striker is going nowhere.
"Falcao is indispensable to Monaco," the Portuguese coach told reporters. "I'm very satisfied with the performance of Falcao and that he scored."
Jardim was also globally content with his side's Emirates Cup campaign, with Monaco having claimed third place by following up their 2-2 draw with Valencia with a hard-fought win over Arsenal.
"I am satisfied with the performance of the team," he continued. "We played two great teams. The players have shown in these two games they are in a very good physical condition.
"The most important thing was to give players the opportunity to show their potential."
Monaco's Ligue 1 campaign gets underway on August 10 when they play host to Lorient at the Stade Louis II.