The Swans front three all impressed and scored in the end-to-end 3-2 victory over Arsenal on Sunday.
Rodgers called up Fabio Capello and requested that the England manager to pay a visit to South Wales for a scouting mission. The Welshman believes that all three of his players are ready and have the technical ability required to step up to international level.
"He (Capello) would have been surprised at the level they played at," Rodgers said.
"The advantage we have is that our players play a style that if they stepped up to international level it would be no surprise to them.
"Players at unfashionable clubs are questioned technically, but they have proved they can play at that level."
Swansea moved into the top half of the table with the win over Arsenal.