Parry said: "Being European champions will help enormously in persuading new players to come and there is no way that we will be resting on our laurels.
"There is rebuilding to do as, however magnificent it was to beat Milan, it doesn't take away from the fact that we fell short in the Premier League. It's an absolute priority for us to get that right.
"We've got a plan and we're working on it. There's a very long list of players that we're refining downwards. Rafa and I have been talking every day for the last week and more, even on the morning after the final. We know what we'd like to do and we will look to get there."