Absolutely. Inflation usually means higher growth (Phillips curve, anyone? *grimace). Growth leads to higher revenue, and a smaller share of debt/GDP. Plus, inflation devalues debt.
they get to print money to pay off their debt how is that not good for them ? (the govt)
With inflation their comes more debt, We have to come up with more taxes, more money, to make up for the random money printed. To randomly come up with more money to pay off our debt will only out us in more debt.