Green’s Dictionary of Slang

flatfoot v.1

[link to flatfoot n. (3) may be coincidental]

(US) to walk.

[US]T. Thursday ‘West Goes South’ in Everybody’s Oct. 🌐 A hawk-nosed gent alights from the bus, and [...] flatfoots into our office.
[US]J. Lait Gangster Girl 53: The ex-convict servant flatfooted in.
[US](con. 1920s) J.T. Farrell Young Manhood in Studs Lonigan (1936) 161: He flatfooted along twirling his club.
[US]C.S. Montanye ‘Opals Are Unlucky’ in Thrilling Detective Jan. 🌐 The big detective [...] flatfooted it down a cement-paved aisle.