The Sweden international has linked up with the Clarets on an agreement that is due to run until the end of the season.
He has impressed during his short time at Turf Moor, with his creative talents drawing plenty of praise.
Kacaniklic decided to join Burnley after finding regular game time hard to come by at Fulham, with Martin Jol reluctant to ask too much of the 21-year-old.
Dyche admits he would be happy to offer the youngster all the football he can handle, but appreciates that the Cottagers are unlikely to be willing to discuss a summer transfer.
He told the Burnley Express: "I'm imagining it would be unlikely, but if it's not I'd be buzzing. I might even get my own money out to sign him!
"He's a young talent. He's a very good player but he's 30 games or so into his career, so he's got more development to come.
"He's hungry for development and all credit to him."