Groovy Potential first appeared on 14 August 2013 as a download from 3rdEyeTunes.com, becoming the third track issued through Prince’s own online store. A short 1:20 preview was streamed on 3rdEyeGirl’s YouTube channel shortly before release. Although later included on Hitnrun Phase Two, the track originally stood alone without an associated album. Recording dates are not fully documented, but basic tracking is believed to have taken place in early‑to‑mid 2012 at Paisley Park