The former England captain has announced his retirement at the end of the season and the outgoing chairman expects that the governing body will reach out to him
The former Three Lions captain, who played for his country 115 times between 1996 and 2009, has decided to call a time on his professional career despite being offered a contract extension by Ligue 1 champions Paris Saint-Germain.
Bernstein had special praise for the for the former England star and is enthusiastic about the prospect of the FA working with him after his retirement.
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"I think he sets a great example for young players with that passion of playing for England right across the game in this country.
"I wish him well, congratulate him on a fantastic career and, of course, I am sure the FA will be knocking on his door to see how he and the FA can work together."
Bernstein will be leaving the post of FA chairman in the summer, making way for Greg Dyke.