Agencies have been invited to submit proposals for the account, which is held by Frank PR and worth up to €200,000.
A document sent out through Creativebrief and seen by PRWeek states that the "mass-market but youth-leaning" US company is looking for a "more contemporary approach" to its PR.
A key focus of this approach will be connecting with "versatile, fast-moving, fickle, elusive and savvy consumers", with digital highlighted as a particular area of importance.
Last July Foot Locker acquired German athletic store and online retailer Runners Point Group for $254m, and recently posted a 2013 Q3 sales rise of 6.4 per cent to $1.62bn.
Both Foot Locker and Creativebrief declined to comment on the process, which closed to new agency proposals this week.