The Rouge et Blanc coach freely admits that he is interested in signing the Argentina international but intimated that he does not believe that Los Blancos will let him go
The Argentina international has been in and out of the Blancos team this season following the summer arrival of Gareth Bale from Tottenham for a world-record fee and looked visibly frustrated after being substituted on one of his rare opportunities to shine in the Copa del Rey clash with Olimpic de Xativa on Saturday.
Speculation is rife that Di Maria is angling for a move to Monaco to boost his hopes of travelling to Brazil for the World Cup and when asked if he were interested in the winger after Sunday night's 1-0 Ligue 1 win over Ajaccio, Ranieri replied: "Yes. But I do not think he will come. It is just a rumour."
The principality outfit were made to work hard for all three points against the 10-man Corsicans, with Emmanuel Riviere's late goal ensuring victory in the injury-enforced absence of Radamel Falcao.
And the former Juventus and Inter coach is delighted with his troops' ability to maintain their composure under pressure, as well as their hunger and desire.
"I saw that the squad wanted to win," Ranieri told reporters. "For the goal, four players were ready within one metre of the goal in order to score. So it was good. The most important thing is the three points.
"The players remained calm and kept the ball, passing to their team-mates quickly. They tried everything to get a goal. It was very difficult but I am very pleased.
"I think that the season is very long. Like I said already, Monaco are fighting Monaco and we keep going without watching the other teams. Second in the table behind PSG is good.
"A season is long, it is long. But I am pleased for my players because they deserve it and it is the fourth victory in a row."