As the national team boss looked on from the stands, Goodwin scored twice and chimed in with an assist as the Reds made easy work of a lacklustre Central Coast Mariners on Sunday with a 3-0 win.
It adds up to back-to-back braces for the three-capped Socceroo, whose stunning shift on Tuesday proved the difference in beating Sydney FC to FFA Cup silverware.
Former Socceroo, John Kosmina, said it would be hard for Arnold to ignore Goodwin in his current form.
"I think Arnie would have to look at him now because he’s an out and out leftie," Kosmina told Fox Sports.  
"You’ve got Robbie Kruse who’s been playing there but he’s a right footer that comes inside. Craig Goodwin – everything’s going right for him at the moment. It’s hard to overlook a player like that for the Socceroos squad."
The 26-year-old cracked the Mariners fragile defence with a header on nine minutes before completing the rout - thanks in part to a howler from goalkeeper Ben Kennedy - with a free kick on in the 56th.
In between, Goodwin set up Apostolos Stamatelopoulos for the second, returning the favour after the young forward assisted for the winger's first. The Mariners had a good penalty shout for handball just before the hour, but apart from that were well off the pace at home in Gosford.
Post-match Goodwin sounded like anything but a man who had just scored four goals in a week, preferring to focus on the hard work ahead.
"Obviously the other night, Tuesday, was fantastic to come away with the Cup but I think the really important thing is we came here and put in, I’ll say a reasonable display," he told Fox Sports.
"Our overall play was pretty good but in the final third I think we were very wasteful.
"I was quite fortunate today, obviously with the goal a little bit lucky, and some other moments, but we came here and we got the first three points of the season. That’s the most important thing and now we have to go away and improve on this and obviously do better next week."
Goodwin said coach Marco Kurz wasn't letting his men rest on their laurels either following the midweek triumph.
"We won the Cup and we enjoyed the day after – and two days after we went to training and the coach was saying, 'look boys we’ve won it and I’m happy for you…but we have to do well in the league now to prove to the rest of the league it’s not just a fluke.
"We want to be in the finals at the end of the season and go one step further than we did last year.'
Adelaide are unbeaten in the first three rounds of the season and jump to third on the ladder with two draws and a win while the Mariners sit on two points.