Goodwillie netted United’s first equaliser in a 2-2 quarter-final draw against Motherwell with an acrobatic effort just before half-time, which took Motherwell’s Irish goalkeeper Darren Randolph and the rest of Tannadice by surprise.
The Scotland international netted from just outside the six-yard box after beating Shaun Hutchinson to Craig Conway’s cross, instantly drawing comparisons with Wayne Rooney’s effort in the recent Manchester derby.
Houston said: “He has come out with a sublime overhead kick. It was fantastic technique.
“Wayne Rooney took a lot of credit for that and Goodwillie has got to do the same.”
The goal cancelled out John Sutton’s first-minute header and United levelled again when the unmarked Jon Daly slotted home Danny Swanson’s cross, 64 seconds after Sutton had netted again from close range after smart play from Francis Jeffers and Stevie Hammell.
Motherwell boss Stuart McCall also praised Goodwillie, and his own players for their part in an entertaining tie.
“I’m disappointed to be ahead twice and be pegged back. But the first goal from them is an outstanding goal, fantastic ability from an excellent player.
“Sometimes you have to hold your hands up and say ‘well played’.”
Celtic’s Scottish Cup quarter-final at Inverness Caledonian Thistle was postponed because of a waterlogged pitch.
The match will now go ahead at Caledonian Stadium on Wednesday (7.45pm) meaning Celtic’s SPL match at home to Hibs will be rearranged.
In the other quarter-final ties, Brechin drew 2-2 with St Johnstone and St Mirren drew 1-1 with Aberdeen.