It said Polish FA chief Grzegorz Lato confirmed the choice would be between Vogts or Polish coach Waldemar Fornalik, who is in charge of local side Ruch Chorzow, at a meeting on June 27.
"We will discuss both candidates and we will see which direction we go in, whether it's a Pole or a foreign coach," Lato was quoted as saying.
"Some are for a Polish coach, some are for a foreign coach," he added.
Poland finished last in Group A with two points after draws with Greece and Russia before losing the decisive final match against the Czech Republic.
The 65-year-old Vogts, currently coach of Azerbaijan, won the 1974 World Cup with West Germany as a player before guiding Germany to the 1996 European Championship crown.
He has also coached Kuwait, Scotland and Nigeria.
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