This is great for German exports. Expect to see more Mercedes Benz in the streets of America.
It generates some inflation as imports are pegged to the dollar(somebody mentioned that it is hedged, it is just by some extent), but overall is actually good for the economic block. The EU needs to export to survive.
The EU has been fighting a possible deflation for most of the 2010s, this is actually not so negative as people might think.
If ECB would raise interest to the same rate as the FED, Euro would become too strong. Inflation is already decreasing in Germany even with that 0% interest rate.
The main inflation concern is the gas prices for this winter and this isn't fixable with monetary policy. If we have no gas, no amount of money will be able to buy it.