The Gunners currently lie in third but face a tough challenge from Newcastle, Chelsea and north London rivals Tottenham to secure Champions League football for next season
The Gunners are joint-third in the Premier League alongside north London rivals Tottenham, with fifth-placed Chelsea and Newcastle both five points adrift.
QPR halted Arsenal's seven-match winning streak last weekend but, despite the chasing pack all securing wins, Jenkinson is sure his side can push on and finish in the top four.
He told the club's official website: "There is going to be plenty of chopping and changing before now and the end of the season and at this point there are no easy games.
"You have clubs fighting against relegation and clubs fighting to get into the top four so we know full well that it is going to be a battle.
"I can tell you now that all the lads are fully aware of that and it is something I think we will embrace more than anything.
"It was a disappointing result last weekend, there is no hiding that, and coming off the back of such a good run made it that bit more disappointing.
"But in this league you are never going to win every game, the quality of the other teams means that is not going to happen."