The Giallorossi coach believes that his side are still in the race for a Champions League spot but calls for further improvement
The Giallorossi currently trail third-placed Lazio by nine points, but the 65-year-old says his team are capable of bridging that gap, providing they improve.
"We take it one game at a time," Zeman told reporters.
"This weekend we have closed up the gap from Lazio by a point and there are another 16 rounds to go.
"We’ve got to push for third place, which is still possible, though of course we must improve."
The former Pescara coach was left to rue costly error's in Roma's 3-3 thriller with Bologna at the weekend, claiming his team's lack of concentration contributed to the result.
“We woke up too late, as we perhaps thought it was an afternoon kick-off,” he said.
“There were many mistakes, but also [a] willingness to do well and get a result. We were caught up twice and then overtaken, but we recovered a point.
“There were errors when evaluating the situations in defence and you concede with errors like that. Our defence conceded three, but so did Bologna."
Zeman also responded angrily when asked if he would see out the remainder of the season, saying it would not be his choice if he left.
"That’s a stupid question. Have you ever seen a coach who is sure? I am always at the disposal of the club."