His comments came after Eurogroup chief Jeroen Dijsselbloem last week described the UK's approach to Brexit as "unrealistic", while Italian Economic Development Minister Carlo Calenda said its aim of retaining common market access while restricting immigration was "wishful thinking".
"I propose a glass of cold water to cool emotions, so that in the end, it doesn't turn out that we all lose -- both the EU and the UK," Duda told Bloomberg in an interview published today.
Duda added that there was the danger that a "group of obstinate politicians" will "attempt to punish the British people, or the UK, for daring to leave the EU".
Britain voted to leave the European Union in a June referendum and British Prime Minister Theresa May has said she will trigger Article 50 -- the formal procedure for departure -- by the end of March at the latest.
More From This Section
May has said she wants to cut these numbers while retaining "maximum" access to the EU single market for British firms, but EU leaders have ruled this out, saying Britain would have to accept free movement of people.
Poland has a huge stake in the issue because around 800,000 Poles are thought to be living in Britain, one of its biggest minority groups.
Poland has also joined Britain in leading the fight against centralised authority in the EU.
In contrast, EU supporters attribute Europe's flaws to the fact that stronger centralised institutions and democracy have been thwarted by national interests.