Mourinho is sure to have plenty to say about the game featuring another of his former clubs, as well as a team he has not held in the highest esteem during his time in English football.
"Jose is able to take on another job right now, but is in no rush".
Solari was initially instated until the end of the season following a heavy 5-1 defeat to Barcelona, but Real fell to a 2-0 home defeat to Real Sociedad at the weekend to leave them fifth in the table - and outside the Champions League places.
But the manager was let go by the club due to their struggles in all competitions this campaign as they were sixth on the log before he was sacked.
Jonathan Whitehead of beIN SPORTS, said: "We're delighted to welcome Jose Mourinho to beIN SPORTS and having him as part of our exclusive AFC Asian Cup 2019 and English Premier League coverage in MENA will be a special moment for our network".
"I do not like feeding news stories, but I have no intention of working in Portugal", he said to Correio da Manha on Thursday.
Quizzed on whether he could see himself back in La Liga or Serie A, Mourinho said: "It's a tremendous honour when you return to a club where you've been, but I'm talking to you and I will not talk to anyone else".
Real Madrid are keen on making the 55-year-old their next manager, with Santiago Solari likely to be walking on a tightrope if results do not improve.
It was suggested that Mourinho, whose very first managerial role came at Benfica, could head back to Portugal, but he insists that will not be the case. "The other thing I have learned is to respect the clubs who want me, and those who don't want me".