Southgate, who previously coached the England national team, applied for the Poland job after Michal Probierz's departure.
Kulesza stated that the association received Southgate's job offer but decided not to accept it.
According to Kulesza, the main reason for the decision is the lack of guarantee that a foreign coach can lead the team to the World Cup.
He cited Fernando Santos, a successful coach with a big reputation, as an example of why they cannot rely solely on foreign coaches.
Kulesza emphasized the importance of finding a coach who can deliver results and meet the association's expectations.