Can I use Foongus' "Play Ball" Ability to retrieve any Ultra Ball, Great Ball, Dive Ball, Repeat Ball, etc. cards from the Discard Pile?
Nope, Play Ball only works for plain old Poke Ball cards.
Source: Steam Siege FAQ (2016-08-04), TPCi Rules Team (2016-08-04)

Relevant cards

Note: All applicable cards may not be listed below.
XY11_12