We have played a few times (5-7 probably) and every time single game takes around 6 hours for someone to win. It's not even finished at that point, but somewhere around 6th turn.
Is there a way to reduce time spend on the single match?
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This seems like an issue brought about by some analysis paralysis, as mentioned in the comments on the original question. Check out the linked post (Countermeasures to "analysis paralysis"?) for help with dealing with that aspect at a high level.
As far as making Game of Thrones go faster, there are a number of ways you can do it (with the first four bullets borrowed from the BGG thread on the same topic):
These are just a few different ways to speed up the game, I'm sure there are more. Using just a few of the above approaches, we got our games down to a reasonable ~90 minutes even with a couple analysis paralysis folks involved.