With only ten games of the regular season to go, Parkinson's men travel to second-placed Wigan sitting in the final Play-Off spot following back-to-back home wins last week over Burton Albion and Doncaster Rovers respectively.
Despite the exciting position City currently find themselves in though, Parkinson insists that his side can only think about their roles and responsibilities for Saturday's game and not the league table.
Parkinson said: "The lads are confident, we just have to make sure that we keep focused and keep our minds on the job in hand.
"There is always a danger in football that if you lose a couple of games, you are the worst team ever and you're going to get relegated, if you win a couple of games, you going up and only a couple of years away from Champions League qualification.
"We just have to keep our feet on the ground and concentrate on what we need to do in each game to produce our best performance.
"Confidence levels are high and the lads are ready to take on this challenge but we just have to remind them of what is required on the day."
This Saturday's match against Wigan will be City's first game at the DW Stadium since the club's memorable penalty shoot-out victory over the then-Premier League Latics in the Capital One Cup fourth round back in October 2012.
Parkinson added: "We certainly enjoyed that night - there was a great intensity to our play in the game.
"If we can get anywhere near to recreating that on Saturday, we'll give ourselves a great chance of getting a positive result.
"We have great memories from our last trip to Wigan and we'll be looking for a similar performance at the weekend."