"become worldwide" is correct and usable in written English.
You could use it in a sentence such as: "The company's products have become worldwide."
As Mr Schonfeld puts it: "CNN has become worldwide and skin-deep.
Guidant and Cook said on Monday that Guidant would become worldwide distributor of Cook's coronary stents.
He turned down a chance to become worldwide director for Nissan design, he says.
"Local conflicts can become worldwide headaches if we allow them to fester".
Lee Garfinkel, 47, president and chief creative officer, will become worldwide creative director at Publicis Worldwide.
Lomax's single was one of the two that did not become worldwide No 1 hits.
Worldwide sport became worldwide business.
He succeeds Clift Jones, who becomes worldwide chief operating officer.
In 2008, she became worldwide chairwoman of the surgical care group and joined the executive committee.
He succeeds Kevin Dundas, 43, who becomes worldwide strategy director, a new post.
Mr. Ross had worked for the Leo Burnett Company in Chicago and D'Arcy McManus Masius before they became worldwide conglomerates.
