The Ukrainian outfit escaped from the BayArena with a point - thanks in part to a superb display from veteran goalkeeper Oleksandr Goryainov - and will be looking for their first Group K victory against Rapid Vienna on Thursday.
But boss Markevych knows the current Austrian Bundesliga leaders will pose a stern test.
"We often play with Austrian teams. But we meet Rapid for the first time. I think they are a very balanced team, they are now the leaders in their championship. We expect a difficult game," Markevych told the club's official website.
"Every game is important to us. I hope the players understand that we do not want to lose points in the league and in the Europa League."
Argentine midfielder Jonathan Cristaldo and Brazilian forward Taison had both been doubts for tomorrow's encounter, but Markevych added: "Currently, everyone is ready to play.
"Today is another workout, but I think Cristaldo and Tyson are ready."
Kharkiv defender Serhiy Pshenychnykh acknowledged their clash with Premier League leaders Shakhtar Donetsk on Sunday will take priority, but he insists they are not underestimating the challenge posed by Rapid.
"We will prioritise that match," he said. "But against Rapid, I think we should go out and play to win."
Rapid captain Steffen Hofmann hopes his side can take advantage of their underdogs tag.
Peter Schottel's men are pointless in Group K after beginning their campaign with a 2-1 home defeat against Rosenborg and another slip-up in Ukraine could severely hamper their chances of qualification.
"We're underdogs, but we will do our utmost to surprise," said Hofmann to www.news.at.
"Certainly, this is an uncomfortable situation. If we had won at Rosenborg, we would have been in a better situation but we lost.
"We must look at the fact we have no points."