Can I use static class in business logic?

This might be a repeated question, but lets talk about the stateless application like WEB API, ASP.NET, WCF. All this are state less application. so, can i go with static class's in business logic. Because of static application will work faster.

In our ASP.NET MVC application we have separate project(Library) for Business logic. In that we are using static class. Is that a good way to go with static