Can a corporation be run in a socialist way even in a capitalist country?

A corporation can be managed and structured in a socialist (co-operative) way in a capitalist economy. But it cannot be run in a socialist way (produce goods and services for use) in a capitalist economy, otherwise it would not survive in the market.

A corporation can be organized as a co-operative, with workers collectively owning the corporation, with internal democracy. But that is the limit to how socialist it can become. It will not be able to operate as a full socialist organization as long as it exists in a capitalist economy.