Villa announced the signing on Friday.
The defender, 16, joins Villa's Academy from midlands neighbours Coventry City having been with the Sky Blues since 2014.
“We wish Thierry the best of luck for his future career, having seen him progress and develop through our Academy system and with much hard work from Thierry, his family and the staff at our Academy," says Coventry chief Dave Boddy.
“While we did not want to sell him, it is an opportunity for Thierry to continue his development at Aston Villa's Academy.
“And we have ensured a significant fee has been received both now and potentially in the future for the Football Club."
Villa have coughed up a six-figure to sign Katsukunya.
Need a VPN? Or seeking to switch? Then support Tribal Football by clicking here to sign up with our official partners NordVPN. Not only will you receive the best VPN experience, but also great discounts by signing up via Tribal Football. Thanks for your support!