Zero Correlation: A foreign risky asset's price will have no systemic reaction to a change in the Investor Domestic Currency/Asset's Local Currency exchange rate.
Positive Correlation: A foreign risky asset's local currency price will change in the same direction as any change in the DC/LC exchange rate.
Negative Correlation: A foreign risky asset's local currency price will change in the opposite direction as any change in the DC/LC exchange rate.
Importance of Real Exchange Rates:
Only changes in the real exchange rates will produce real changes in asset returns.
When changes in nominal exchange rates only reflect inflation rate differences between countries, reported nominal asset returns will only reflect inflation rate difference between the local country of the foreign asset and the investor's domestic country.