The former Spurs boss was coy when questioned over his feelings towards the position following the RFU publicly annoucing their interest in him and 12 other candidates
The Russian Football Union revealed that 13-man shortlist for the role on Tuesday, witch included the Englishman alongside former Barcelona manager Pep Guardiola and former England manager Fabio Capello.
Redknapp departed Tottenham last month after failing to secure Champions League football, and spoke immediately of his desire to return to employment at the earliest opportunity in the aftermath.
"I haven't been contacted but I'm sure it's a fantastic job for someone," Redknapp told The Sun.
Dick Advocaat's decision to take the position at PSV Eindhoven came prior to the disappointing Euro 2012 campaign, allowing the RFU to begin its search almost immediately.