Musa has been at Leicester since the summer of 2016 while Iheanacho joined a year later.
Leicester City completed the signing of Iheanacho from Manchester City for an undisclosed fee in August 2017 and he has managed only nine premier league appearances since his arrival.
Sources claim that the German coach is not happy that the players have been warming the bench at the Premier League club.
"Slimani played well in the last game", Puel said.
This wouldn't be too much of a surprise as even Puel has admitted the £16m signing leaving is a "possibility" during the transfer window.
Southampton fans were quick to have their say on the Nigerian via social media, and while one said he is "just the sort of player we need", another said "if we're going to spend £20m on someone I'd rather it was him than Walcott".
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"We don't have a lot of opportunities for all the players, like Ahmed Musa".
"I hope they keep fighting for shirts to get a playing time or quit the club for a better team willing to give them playing time to showcase their talent", he concluded.
But with the likes of Jamie Vardy and Shinji Okazaki at the club, the 20-year-old has had a rough start to life at the King Power, having made just 12 appearances this season.
Although Iheanacho has several clubs interested in him, they have reportedly baulked at his £115,000-a-week wage.