That's not the case with bigger companies.
I like small companies with growing international sales. They shouldn't fall as much as other small companies during a bear market. Plus, when the market rebounds, they'll get the benefit of growing domestic and international sales. For a small company, that can be more than enough to grow profits and see share prices rise.
Most stock search engines will let you cull companies by market cap. But to see what they have in international sales (if any), you have to dig a little deeper. Still, it's not hard. Most companies will mention global sales in their profiles. One place to find a company's profile is on its main page in Yahoo's finance section.