As folks have already pointed out in this thread, the company is doing fine. Net Income increased year-over-year and has been on an upward trend since 2012. They also reduced liabilities by 10 billion yen over the last quarter (mostly 5 billion in short term borrowings). Capcom also makes money through Pachinko machines and licensing their properties. Every sector is seeing improvements with the exception of Amusement (Pachinko)
As for OP's question, likely in parts. Capcom is a fairly large company, and would likely have a lot of liabilities if it were to go under. Buying a failing business can be tough as their operations have an impact on your financials. It would be far more profitable for companies to pick up the IPs rather than buy the whole thing. It may also work out as Capcom has an odd array of IPs. It may be hard to find a buyer when they may only want a few series. For instance, Sony may want Monster Hunter, but would have no interest in some of the other titles. Another company (like Activision) may want Resident Evil but would have no interest in the other stuff. It would be easier to find a buyer if done piece meal.