You may be lucky, we've found them already in the room in any of the onsite hotels on occasion but it seems to be a matter of pot luck. It is easy to ring through a request to reception though and they are usually pretty prompt at sending one along. Bear in mind that mugs are not provided unless you buy the tea/coffee/biscuit package.
Which hotel are you staying in? I found this on DLPguide, talking about the 2016/17 Disneyland Paris brochure: Hot drinks could soon be in Disney Hotel room as standard.What’s likely to be a very popular upgrade can be noted on the pages of three Disney Hotels: at Disney’s Newport Bay Club and Disney’s Hotel New York, a “tea and coffee kit” (from sometime in 2016); and at Disneyland Hotel, “tea and espresso facilities” (from end of 2015). Of course, you’re currently able to request a kettle upon checking in, but putting the facilities in rooms as standard is a logical and welcome upgrade to remove this hassle.
For the SF, C and SL I think the price of the pack is €7 although I haven't bought one for a long time and the price might have gone up. I also understand that the cups are paper now so I can't imagine they will last long. If you have space you might want to bring mugs as well as a supply of tea/coffee. You can always bring old or cheap new ones and just leave them behind to make space for purchases!
Sequoia definitely request a kettle. Buy a lovely new mug. Take your own Yorkshire t bags, packet of biscuits and buy milk from the shop in the hotel. Keep it chilled with the ice bucket. Have a fab time.
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