The England international has not made Premier League appearance since late October, after which he was relegated to the bench in favour of Costel Pantilimon after a series of high-profile errors.
Pellegrini’s actions have led to claims that Hart may be sold in January, and that a number of top-level goalkeepers could be the subject of serious January offers.
However, the Chilean is thought to be impressed by the way the 26-year-old has responded to being axed, with his determination to regain his spot particularly encouraging.
As a result, Hart could be handed a big opportunity against Arsenal on Saturday in a game that could be a must win affair with City already six points adrift of the Gunners at the top of the table.
Although Pantilimon has done little wrong during his brief spell as the club’s number one, it is thought that Pellegrini would prefer to have an on-form Joe Hart between the sticks as he mounts a charge for the title.
Hart’s last top-tier involvement saw his last minute blunder hand Fernando Torres a last-minute tap-in in a 2-1 defeat to Chelsea.