Mohsni has been unable to play for Ally McCoist's team in a competitive match so far in the 2013/14 campaign due to the SFA signing ban.
But the former Ipswich Town and Southend United centre-half has been greatly impressed with the performances of the Ibrox club.
The Gers have scored 18 goals in their league games against Brechin City and East Fife at home and Stranraer and Airdrie away.
And the Glasgow giants have conceded just a single goal - in the 4-1 victory over Brechin on the opening day of the league season.
Mohsni and all the other new signings can play in the League One game against Arbroath at Ibrox on Saturday week.
And the 26-year-old defender believes Rangers can maintain their 100% winning start to the league and challenge in the Scottish Cup.
He said: "I hope we can deliver a trophy and I believe we can. That's why you play football.
"You play to win and win trophies. It would be good for me in my first season to win a trophy and win the league. I know what winning means to this club.
"I think we can go the full season without losing in the league. I hope that will be true anyway."
Mohsni added: "I see the quality we have in training. I see it everyday and it's unbelievable.
"Jon Daly scores for fun. Lee McCulloch too. We have a lot of quality and I think we can be very successful this season."
The 6ft 3in defender has been impressed with the size of the crowds Rangers have attracted this season despite playing against part-time clubs in the third tier.
And he feels with that sort of backing it will not be long before Rangers have forced their way back into the Champions League.
He stated: "When I think of Rangers I think of the Champions League.
"When I was a boy every year Rangers were in the Champions League. I am a PSG fan and I remember Rangers playing us in Europe.
"Every year they won the league in Scotland too. When I was younger I thought: 'Wow! It can't be easy to win the league every year!'
"But Rangers did that. Rangers are a massive club and they belong back in the Champions League."
Mohsni stressed that continuing stories of boardroom unrest at Ibrox had not affected the team morale.
He commented: "It's a very good place to work. We are not unsettled by anything. We are focused on getting good results."