The 16-year-old has signed a deal at Ewood Park after the two clubs agreed a compensation package for his signature, and Beattie has insisted that the transfer was beneficial for all involved.
The former Southampton forward told Sky Sports News: "He's a very astute young man who knows what he wants and when the interest first arose from Blackburn, I let him know straight away. I believe that's right, we looked after him and Blackburn have been spot on throughout the negotiations.
"It's not just been about getting the best financial deal but also the best deal for Connor. I think he's good enough to do really well there.
"He's a fantastic young player and I've spoken to Gary Bowyer at length about him and I may well be knocking on his door to get Connor back on loan in the future."
Mahoney had made six appearances for Accrington this season before deciding to leave the League Two outfit.