If you want to do more than just going out for an easy run there are some good options available.
A short trip away you can find the tracks Sundbybergs IP and Karlbergs IP that should be open to the public and those looking for a hill workout can go to Hagaparken, Ursvik Xtreme, Norra Djurgården 3.1km, Ursvik 5km or Lill-Jansskogen 3km.
Parkruns are great ways of meeting local runners while also getting a great workout in. Haga parkrun is not to far from here.
Running in a new city in the winter time can be tricky. Bad weather and darkness makes it hard to find good places to run.
Hagaparken is suitable for running year round and has electic lighting.
Those looking for a flat course with firm surface can go to Golfängarna.
A route for trail runners to try not to far from Frösunda is Ursvik Xtreme.