The Borussia Dortmund striker has been heavily linked with a move to Sir Alex Ferguson's side in recent weeks, and national coach Franciszek Smuda encouraged the move
The co-hosts drew their opening game of the tournament against Greece on Friday, with Lewandowski notching the opener, and the player was keen to talk about the task at hand, rather the focus on transfer talk surrounding his future.
"I am so happy to score this goal in the opening match," he told reporters.
"But I'm not going to concentrate on these issues [joining United]. Euro 2012 is the priority. I'm totally focused on the national team."
Poland boss Franciszek Smuda suggested prior to the opening game that the striker has the ability to join United, which prompted the latest round of rumours that the 23-year-old could be set to meet up with former Dortmund team-mate Shinji Kagawa at Old Trafford next season.
But the player's agent stated last month that the forward would not force a move away from Signal Iduna Park, and that he would respect the wishes of his current employers.
After Lewandowki opened the scoring against Greece on Friday, Goal.com's Poland expert Ryan Hubbard examined his overall performance.