The 20-year-old defender, the son of agent Jerome Anderson, who is an advisor to Rovers owners Venkys, made his debut at the end of current club Aberdeen's 5-0 win over Kilmarnock on February 19 but has not featured since.
He had previously had a trial with Blackburn last summer, making a 13-minute substitute appearance in a 3-0 friendly victory at Southport, before moving on to train with Motherwell ahead of his short-term deal with the Dons.
Optimistic: Kean believes he has uncovered a gem in Anderson
However, despite his lack of experience Kean feels Anderson could emerge along the same lines as Manchester United's Chris Smalling, who less than three years ago was playing for non-league Maidstone United.
'We feel that Myles Anderson is a player with great potential as a late developer,' Kean told the Lancashire Telegraph. 'He could become something of a Chris Smalling, who came through late in football and Myles has done the same because of his schooling.
'We think he has a lot of potential but there was the opportunity for him to go Scotland in January and we and he felt that would be a good experience for him.
'There was interest in him from a couple of Spanish clubs but he is our player and will be at our club full time in July.'
Aberdeen manager Craig Brown said he always expected the defender, who will join Rovers on a two-year deal in the summer, to make the move to Ewood Park at the end of the season.
'He was signed as cover and it was always his intention to go to Blackburn,' he told the Press and Journal.
Sources at SEM Plc, the sports management company run by Anderson's father, said footballing decisions at Blackburn are made by Kean.
They also pointed out the player was training at Motherwell under Brown and the former Scotland boss chose to take the player to Pittodrie soon after moving there in December.
'The fact he has been picked by two top managers shows how highly he is thought of,' the source told Press Association Sport.
Rovers poised to snap up Aberdeen defender Anderson on free in summerBlackburn 2 Blackpool 2: Hoilett hoists Rovers to precious point at the deathStoke and Blackburn chase ?9m wantaway Wigan winger N'ZogbiaAs the Premier League survival race hots up, it's squeaky bum time!
Explore more:People: Craig Brown Places: Aberdeen, Scotland