Examples, where /hold/ is suited, and /have/ will not be a good substitute: -- hold on for a moment, please (while at the phone, you are asking somebody to wait and stay on the line) -- please hold the dog's leash while I open the suitcase and take the car's keys. -- The Beatles, Song: Hold me Tight (composed by Paul McCartney in 1961, published in 1963), Lyrics' excerpt: It feels so right now, hold me tight, Tell me I'm the only one, And then I might, Never be the lonely one.

You can say both

both forms are grammatically correct, although they differ subtly in their meaning. To have a football game implies a passive role. You can say, many countries have mountains, but it sounds weird if you say many countries hold mountains. To hold a football game implies a more active role, like sponsorship, or participation.