"have a national presence" is correct and usable in written English. You can use this phrase to describe something that is known or present in every state or region of a country. For example, "This organization has a national presence, with offices in all fifty states.".
"We'll have a national presence".
If they were to join forces, the Wheatley Group would have a national presence.
Although TSB has enough branches to have a national presence (it claims that most Britons live within a few miles of at least one), it may struggle to win much new business because its branches are thinly spread.
Even though Chinese players also are getting bigger, they tend to be localized very few have a national presence," says Menon.
(The criteria include having a national presence and offering a minimum 20 percent discount).
One is led by secular Congress, which has a national presence and has ruled for a decade (and 54 of the past 67 years).
But as Felix says, because the Times is only losing a small amount of money at this point, and because it's one of the few newspapers that has a national presence, "I think it's pretty safe to say that the NYT is going to continue to exist in its present form for quite a long time yet".
Ludwig does not simply clarify my doubts with English writing, it enlightens my writing with new possibilities
Simone Ivan Conte
Software Engineer at Adobe, UK