The striker knows cup competitions this season will be seen by some as an indicator as to whether the Glasgow giant can still compete at the highest level.
Rangers was voted into the Irn-Bru Third Division after being consigned to liquidation but boss Ally McCoist has recruited SPL-calibre players, such as Kyle,
But, having been dumped out of the Scottish Communities League Cup by First Division Falkirk last term, Kyle's only aim is to help secure his side's place in the next round.
He said: "I don't think there are any points to prove.
"The nucleus of the team is still very good. Regardless of whether it's in this league or the SPL, it's still a good team.
"We just need to go out there and be professional and do our job.
"Falkirk will be a tough game. Every game is tough so hopefully we can come out victors and get into the next round."
Injury problems meant Kyle was out of action for a lengthy period, before making the switch to Rangers this month, where he has made three appearances from the bench.
And, with Rangers set to face Falkirk again next week in the League Cup, he is relishing a hectic schedule as he aims to build on his fitness further.
Kyle said: "My situation is different to everyone else's because I've been sitting at home for the last 18 months without any games. The more the merrier for me.
"Of course, it's hard with games Saturday-Tuesday, Saturday-Tuesday, for the next few weeks but the boys are looking forward to it and the more games, the better."
Rangers' status as a Scottish Football League club this season means participation in the Ramsdens Cup.
However, manager Ally McCoist says he is just as determined to claim this trophy as he is any other silverware.
He said: "It would be totally wrong for us not to treat the Ramsdens Cup with anything other than total focus and a desire to win it - and that's the case.
"We have never won the Ramsdens Cup so it would be fantastic for the club to do that.
"There will be tough games along the way and in no way are we treating this as anything other than a cup we really want to win."
Two goals on the stroke of half-time from Celia Okoyino Da Mbabi helped Germany ease past Scotland 3-0 in the Women's International Challenge Match at Essen.