The Lupi are seven points off Champions League qualification following a 1-1 draw with Udinese last weekend.
Andreazzoli insists that his side can only qualify for Europe with complete focus on each match, starting with Parma this evening.
He told Astroma.it: "People wouldn't take me very seriously if I started talking about the Champions League at the moment.
"There are lots of teams ahead of us and I prefer not to talk about it. And if I start talking about other targets that are considered less important I could be misinterpreted and seen as someone who's happy to settle for less.
"I prefer to take things one day at a time, you can't make calculations about the future. We must pull out all the stops tomorrow so that we can get the three points and meet our fans' expectations."
The 59-year-old has won three of his five matches in charge at the Stadio Olimpico since taking temporary charge following the sacking of Zdenek Zeman last month.