TL;DR: you may or may not be able to bring your skateboard on a plane. You could go by train. But are you sure you want to bring the skateboard anyway?
You can't bring large lithium batteries on planes because they are a fire risk.
Restrictions are based on the battery's capacity in watt-hours (Wh). To find the capacity of your battery, multiply the capacity in Ah (amp-hours) by the voltage. If the capacity is quoted in mAh (milliamp-hours), divide by 1000 to get Ah.
Anything over 160Wh (watt-hours) is forbidden on passenger planes, period, by international regulations. Lithium batteries can only be put in the hold of a passenger plane if they have capacity up to 100Wh and are installed in a device. Any battery that's not in a device (the airlines call these "spare batteries"), and any battery of more than 100Wh (up to 160Wh) must be in your hand luggage. Furthermore, you must notify the airline in advace if you intend to bring a lithium battery in the 100–160Wh range (I think there are restrictions on how many can be brought on the plane in total). You're only allowed two spare batteries in that range.
From cursory research, it seems that typical skateboard batteries are 22V and in the 5000–8000mAh range, which gives a capacity of 110–176Wh. The upper end of that range cannot be brought on planes at all. The lower end can be, but you can only bring two batteries, they must be in your hand luggage and you must inform the airline in advance.
I expect all airlines will require you to put the skateboard itself in your checked baggage. If you can't remove the batteries, you can't take it, since they will need to be in your carry-on.
An alternative option might be to travel to Russia by train, but it might take a couple of days. You can certainly get from Paris to Moscow, though you'll need to search more than I did. Die Bahn is usually excellent for European rail travel but it doesn't understand that, for a really long journey, stopping somewhere overnight is the right option. For Paris–Moscow, it decides you need to be in Berlin by 9am and the only way to do that is to go via Antwerp, Rotterdam, Utrecht and a bus to Hannover, which is obviously crazy; clearly you'd travel to Berlin the night before, with a single change somewhere in the Rhineland.
Other issues you do or do not raise:
Bringing the skateboard into Russia is presumably fine, unless you have reason to believe that electric skateboards are illegal there. Customs shouldn't be concerned with you bringing valuable things into Russia as long as it's clear that you'll be taking them with you when you leave. Lots of people travel with much more valuable items, such as laptops and cameras.
I'd be extremely surprised if you were allowed to bring a skateboard into the stadium with you. Even if you're allowed to bring them into regular football games in France, the World Cup is Different[TM]. It's a major sporting event and they're very restrictive about what can be brought into stadia, for safety and marketing reasons. For example, at the 2006 World Cup, a large number of Dutch fans famously had their shorts confiscated because they were advertising a non-sponsor brand of beer.
Other answers have already covered whether it will be feasible to use an electric skateboard to get to the matches in Russia, and whether it would be wise to use one around the big screens and so on. Remember that major events such as the World Cup do attract a lot of petty crime – do you really want to have to guard your skateboard while you're trying to enjoy the game?