Interesting - on the one hand a weaker Euro could mean that European will turn towards gold as a way to protect themselves thus tending to increase (in $US) the price of gold (more buying) but a rise in the $US usually has a negative effect on the price of gold.
However, in general the tidal effect of creating huge waves of fiat money all over the world should result in an increase in the value of gold, measured in whatever fiat currency.