The central defender has impressed on loan at Rio Ave this season from Atalanta.
Gouano, who started his career at Le Havre, has spent the last couple of years on loan from Serie A clubs, but has really caught the eye this season with Rio Ave in Portugal.
The Frenchman was highly thought of as a youngster, featuring prominently in the French youth levels up to the Under-20 age groups.
It earned the centre back a move to Juventus in 2011, though he left Turin for Atalanta without making any appearances for the Italian giants.
At Atalanta, Gouano had more useful loan spells away, finally getting some regular first-team football, first with RKC Waalwijk in the Netherlands, and then with Rio Ave this year.
He has helped the north Portugal side to an impressive 8th position in the Primeira League, and also featured in the club's Europa League campaign, on the way to making 40 appearances.
Considering he is still just 21, Gouano would be a necessary injection of youth to the Foxes back line, which currently has Wes Morgan, Matthew Upson and Marcin Wasilewski all at the club and in their 30s.