Leicester City want to build on their FA Cup victory and challenge for greater honours next season even though they lack the financial muscle to compete with the Premier League’s bigger clubs, manager Brendan Rodgers said on Friday.

Leicester are fifth in the standings — level on 66 points with Liverpool and one behind Chelsea — after dropping out of the top four for the first time this season following Tuesday’s loss at the London club.

“We want to fight for trophies,” Rodgers said at a news conference. “If we could become a sustainable club in European football, that shows we’re successful. Commercially, we’re 10th. For budget, we are eighth. It will be difficult to compete with clubs three or four times our budget but it doesn’t stop us fighting.”

Rodgers said although they were ecstatic at winning the FA Cup for the first time, they would be disappointed if they did not finish in the top four.