The usage of prints here is a relatively uncommon one. Oxford Dictionaries Online does provide a definition:
1.2 (usually the prints) informal A newspaper:
the report’s contents were widely summarized in the public prints
I can only find it online in older publications, for instance
This very circumstance of itself, when related by the reporters, and published in the prints, must cause a sensation through this empire
in Antiquated Scrupulosity Contrasted with Modern Liberality by an Abraham Bagnell, 1829.
But Barnabas Gan, the quoted forecaster, resides in Singapore, and perhaps this usage is more familiar there. US-centric [print] remains hopeful or [the] US-centric [press|media] remains hopeful would mean more or less the same thing in this context.
As noted in another answer, the suffix -centric refers to being oriented to a particular center. Thus, a US-centric newspaper would be one which reports primarily on the United States, or primarily about how events affect the United States. It can be disapproving in some cases, e.g. a Eurocentric worldview is one that places Europe at the center of the world, with the implicit derogation of views from other parts of the world. Whether Gan intended US-centric to be disapproving of such a publication cannot really be known from this article alone, however.