Kompany was finally confirmed as Sean Dyche’s successor on Tuesday after leaving Anderlecht by mutual consent last month in late May.
He said: “We do need to add and I’m sure Vincent will have his targets.
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“It’s an exciting time to be a Burnley fan. Obviously it was disappointing to get relegated, but there’s going to be lots of changes. So exciting times.
“It’s been in the pipeline for a month and he’s in the building now.
“I can’t wait to get back there to see what the future holds for myself, him and the team.
“To have someone like that as a manager, who was a colossus back in the day… he is going to pass that on and get us to do that for him.”
He added: “It’s going to be all hands on deck to bring players in over the next few weeks.
"We’ve got players left who are more than capable of being right up there next season. But the Championship is hard to judge.
“You get teams who come from nowhere and others you expect to do well and don’t. It’s hard to tell until you get a settled team.”