Cook, 19, is a key figure at Leeds, and it was no coincidence the team lost 4-1 at home to Huddersfield last weekend when he was rested.
The midfielder played yesterday for England's under-19 side as they beat Georgia 2-1, with Josh Onomah and Tammy Abraham scoring the goals.
Now it has emerged unsurprisingly that Leeds will face a battle to hold onto him this summer, with Everton and Stoke City both interested.
Everton came close to signing Sam Byram from Leeds in the January transfer window, before the full-back opted to switch to West Ham.
Cook will have just one year left on his contract after this summer, with his present deal at Leeds set to expire in June 2017, and it is unclear if talks over an extension are currently ongoing.
His sale would not go down well among fans, but there is little doubt the teenager has the ability to make it in the Premier League, having been a Championship regular since he was 17.