Ball scored after 10 minutes with a cracking right-foot drive from 25 yards that gave Plymouth goalkeeper Jake Cole little chance.
Two minutes later the Fleetwood forward beat Cole with a deft, left-foot strike from outside the box that curled beyond Cole and into the top corner of the net.
''It's not an accident. He has worked hard in the summer and come back raring to go in pre-season,'' said Alexander.
''He's really put the work in on and off the pitch and getting the rewards early on and hopefully it will continue because he is a great lad.
''His talent is undoubted. It's about getting the right service into him and the right people around him giving him the opportunity to score goals because his technique is excellent.
"He has got the work ethic for the team as well and the lads are appreciative of the work he puts in but he also appreciates the lads around him. It's a team effort.''
Alexander added: "Obviously Bally will get the headlines but it's the team that won the game.
"It was a great start for us, two goals in the first 12 minutes. We created a few more chances but had to be aware because Plymouth are dangerous, especially at home in their first game and they really went for it in the second half.
"But I thought we saw the game out professionally. We talk about being hard to beat and everyone contributed. However, this is just a start and we won't get carried away."
Plymouth boss John Sheridan felt the two early goals knocked the stuffing out of Argyle and admitted his team never really recovered.
''To go two goals down so early was the problem,'' said Sheridan. ''Two goals so quick, at that time, we just didn't pick up after the two goals and full credit to Fleetwood who kept catching us on the break.
"We just totally switched off. It shouldn't be the case it was only 2-0 and there was still plenty of time with 78 minutes to go.
"I am the manager and sometimes it's hard to say things on the reason why. I can look at it and I look at myself sometimes "did I pick the right team?" It was the same team that everyone said played so well at Birmingham in the cup in midweek.
"We have just got to take it on the chin and take the criticism, which I expect because the two league games we have played have just not been good enough.
"I think other than Durrell Berry, who has started the season well, none of them are playing at the level I expect.
"In the league, especially at home, the crowd want us to get off to a good start.
"We are very disappointed and now we have got to pick ourselves up and get ready for probably the toughest game we will have, against Cheltenham away."