'Supernanny' Jo Frost -- I CAN HELP ADRIAN PETERSON ... Contacts NFL Execs

Can Supernanny save Adrian Peterson???

She thinks so ... and now TMZ Sports has learned Jo Frost has reached out the to NFL offering to help the embattled running back.

The reality star and parenting expert -- who recently worked with Peterson on an EpiPen promotional campaign -- says she was "very saddened" when she saw how AP disciplined his child ... and felt compelled to help.

Frost says she strongly believes she can teach Peterson how to be an effective parent WITHOUT using violence -- and has contacted both the NFL and Peterson to offer her expertise.