放眼 is a verb-object separable verb (离合词) meaning to take a broad view or scan widely, both literally (looking into the distance) and figuratively (considering a wider perspective like the world or future). It can split into 放 and 眼 when you add modifiers such as 了, 过, or a measure word between them, e.g., 放了一次眼 ('took one broad look'). You often see it in formal or written Chinese, followed by a scope word like 世界, 未来, or 全局.