At this time FanDraft only fully integrates with MyFantasyLeague.com (see here for more information: http://www.fandraft.com/blog/myfantasyleague.
However, FanDraft allows you to create multiple draft reports after your draft, which greatly expedites the process of entering rosters into any league manager product (Yahoo!, CBS Sportsline, ESPN, etc.). You can access this area by clicking the REPORTS button in FanDraft.
ESPN recently (2019) improved their "Offline Draft-Roster Import" to a huge extent, and entering the draft results data is a now breeze. We recommend exporting the "Draft Summary by Team" report from FanDraft as your primary reference for inputting the data into ESPN.
We would love to add FanDraft integration to all league managements services, so you should email your LM provider and ask them to add FanDraft integration!