Depends entirely on how good of a world cup those players have. If Rogers is scoring and assisting for fun, we'll likely have a buyer lined up before the tournaments even over.
It wouldn't surprise me in the least if a buyer had already been lined up.
It’s almost certainly the case. Man Utd or Liverpool I’d guess.
Doubt Man U or Liverpool will have tacitly agreed to spend £100 million when they don't know who their manager is. Chelsea have to balance the books so may go relatively low-key for a while and the rules probably prevent Newcastle spending that much on a single player while Tottenham aren't exactly the most attractive option at the moment.
If he goes to another English team it will be late in the transfer window after loads of disruption and haggling and will leave us scrambling around desperately to get a replacement before the window shuts.
Unless he has a cheapish release clause we don't know about, that is.