Larsen left for Crystal Palace on deadline day in a deal rising to £48million, while Agbadou is completing a move to Besiktas for £17.5million and Arias is returning to Brazil to join Palmeiras for £21.5million.
It means Wolves have generated up to £87million by letting the trio go, while they have only made one permanent signing in Adam Armstrong for £7million, rising to £9million.
Edwards believes doing this business early will put Wolves in a healthy position to rebuild the squad quickly in the summer following their expected relegation to the Championship.
"There's not been numbers spoken about right now or anything like that and I don't think there's needed to be," Edwards said when asked about his summer budget.
"But what I think it allows us to do is act decisively and quicker than maybe we would have been able to do before.
"I think that's really, really important for us."