The former Hythe Town skipper marked his first Faversham Town start since November 17 with, what proved to be, the winning goal in the Lilywhites' 2-1 victory at local rivals Whitstable Town on Saturday.
Former Town man Jordan Wright had given the Oystermen the lead with a brilliant volley. But Ashley Miller then steered home Liam King's cross before Cook netted Faversham's second before the break.
On Twitter, Cook said: "There's still life in the old dog yet."
Among those also named in this week's team, with Ebbsfleet boss Garry Hill manager-of-the-week, are keeper Nathan Ashmore, Danny McNamara, Stuart Lewis and Ramsgate frontman Kane Rowland.
Town host Bostik South-East Division leaders Cray Wanderers this Saturday.
Updated 18:53 - 21 Jan 2019 by Thomas Reeves