Which countries do you mean? In Ukraine more likely you won’t be welcome, but even that can be different if you’d learn the history (not the bullshit you’re fed in Russia), culture, and language. Baltics won’t like you, I guess, but again, if you won’t push ‘great’ Russian culture (like three writers over three centuries) on them, you’d be fine. At some point, you’d have to understand that this is precisely nobody likes Russians. If you’re open to the world and don’t mind embracing diversity, languages and cultures, you’d be ok. Bonus, much easier to a girl, if you’re a girl. However, a friend in Stockholm was very suspicious of his Russian girlfriend, thinking she could be with him purely based on things not really related to the relationships. Which is, well, understandable.
Also, you might move different direction, like Asia. I think people mostly aren’t in the context of the war, and unless you’re pushing them into Russian, I believe you’d be fine. Especially if you’d be open about you not supporting the country of your origin, but being afraid to stand against the regime. Leaving, you’re weakening Russia, which is good for everyone, even Russians. Russia must lose the war to become a country (hopefully countries, plural) that won’t be a threat to everyone. Otherwise, it would be even worse for everyone.