The Ghana international has been on the sidelines since suffering an injury setback in a Premier League clash with Bournemouth last month.
He consequently missed games against West Bromwich Albion, Chelsea, Brighton and Hove Albion and Newcastle, Burnley and Southampton, and is set to watch Saturday's clash with Crystal Palace from the stands.
"Kasper [Schmeichel] is still injured like [Shinji] Okazaki , they are both not available,” Puel said in his club's fitness update on Thursday.
“Some players like Amartey will come back with the Under-23s and we will see if he can come back into training.”
A peripheral figure at King Power Stadium this season, Amartey has made just eight league appearances, involving six starts, so far.
His limited opportunities heightened reports of an exit during the January transfer window, having been linked with the likes of Championship side Aston Villa and German Bundesliga club VfB Stuttgart.
He joined the Foxes from Danish outfit FC Copenhagen in January 2016, making five outings as Leicester won the league title the following May.