Cleverley hopes the celebrations that followed are something he will be able to experience many more times in the future.
"It [the day of the victory parade] was a very special day and something I'll never forget," he told ManUtd.com.
"I don't just want to experience that once - I want it to happen many times. We've got that taste now and it makes us hungry.
"It maybe takes a little bit of pressure off [winning your first one], but being part of that victory parade makes you want to do it again and again throughout your career."