Mohsni, the former Southend United and Ipswich Town player, has been unable to take part in a competitive match since agreeing to join the Ibrox club in July.
The Scottish Football Association's signing ban, imposed for the non-payment of taxes during the Craig Whyte regime, prevented him taking part in league and cup games.
The 26-year-old admitted it has been frustrating to sit on the sidelines as he helped launch the Rangers away kit at Glasgow Airport yesterday. However, the 6ft 3in defender revealed his move to Scotland has been made easier by McCoist.
"It was the manager who convinced me move to Rangers," said the player, who was the subject of a £150,000 bid from Barclays Premier League club West Ham United last year.
"I am a player and I have to feel confidence with the manager and from the first time I came he was very nice with me. He gave me all of the confidence and I couldn't wait to play for him. It is normal for him to be very close to his team and that can help him sign players and he helped me to sign."
Mohsni added: "He can also speak French. Seriously his French is very good. Some managers try, but he can make a proper sentence and this is good for me. I think they have had a lot of French players, so this is why he can speak it."
The signing ban expired on August 31 and Rangers can field all eight of their summer acquisitions in the SPFL League 1 game with Arbroath at Ibrox on Saturday week.
But Mohsni, who impressed greatly during the Third Division champions' pre-season tours of the Highlands and Germany, knows he will have to perform well to get a start.
McCoist's team has won all four of their league games convincingly so far in the 2013/14 campaign - scoring 18 goals and conceding just one in the process.
"I am looking forward to playing and, hopefully. I can start a league game next week," said Mohsni. "I'll be very happy if I can play this game. It's been very hard. When I signed and the manager told me I couldn't play until after September 1 I thought: 'Okay it's only going to be three weeks'. But it's been quite tough.
"The team has had some good results so I am happy about that, but it's still been very hard because I want to be part of it. I don't know if the manager will change his team and add some players or if he will keep the same team. It will be his choice."