Paschberg is a forest area near Innsbruck - walking distance from the city it is a very popular escape for the locals. Popular for dog walkers, joggers and anyone just looking at getting out of the city. I like to walk through it early morning especially when it gets foggy in autumn and winter.
I have not seen much wildlife in Paschberg other than the usual squirrels and birds but I have hear that there are the occasional deer and fox. It is a very busy area so not sure how often you will be able to see any.
Paschberg is the ideal place to recharge your batteries!