Without a currency peg (or perhaps a de-facto currency peg when most trade contracts are denominated in some foreign currency), there can be no large amount of "imported inflation." A country with an independent currency should see exchange-rate changes, not inflation, when some foreign currency is debased (e.g., when the US Federal Reserve prints dollars), though there might be some short-run distortion.

To put that another way, just because the US dollar, for example, is debased causing oil to rise in dollar terms, any country using a currency which trades freely against the dollar should see their currency rise against said dollar, minimizing any change in the price of oil in local-currency units.