The Rossoneri vice-president was relieved that his side picked up the three points and is convinced that Massimiliano Allegri's squad can push on to revive their Scudetto bid
Despite losing key players such as Zlatan Ibrahimovic and Thiago Silva in the summer, along with experienced veterans such as Clarence Seedorf and Alessandro Nesta, the vice-president has faith in the current squad and points towards the exciting options available in attack.
Speaking after the match, Galliani said: "Only the result mattered tonight. We played better than we did in the first half.
"[Nigel] De Jong and [Massimo] Ambrosini in front of the defence looks like a good solution and I’ve said this to [Mauro] Tassotti and [Massimiliano] Allegri. I adored [Fabio] Capello’s Milan and my friend Leonardo played that way too.
"We definitely don’t have a worse team than the ones we have lost to. Robinho came back tonight and [Alexandre] Pato will be back soon and with [M'Baye] Niang up front we have a lot of options."
The official also praised the game's match-winner Stephan El Shaarawy, as he believes the young attacker could develop into a top player for the club.
"El Shaarawy is a 20  year-old player and both him and [Mattia] De Sciglio started tonight," he added. "We invested a lot of money on him, but we thought and still think that he’ll be an important player.
"I like him a lot because he runs like a madman and I like forwards who help out the defence as well. He reminds me of Eto’o in that respect."
Massimiliano Allegri has been heavily criticised for Milan's poor start to the season but Galliani was quick to give the 45-year-old coach his backing.
"It’s clear that we have to find a formation that will bring the best out of the players that we have and in Allegri and [Mauro] Tassotti we have two great coaches who can do that," he mused.
"I want to thank the fans for their support in what has been a terrible start to the season."
Assistant coach Mauro Tassotti, meanwhile, emphasised the necessity of the three points, and is confident that the side's morale has been boosted ahead of Saturday's clash with Parma.
"It wasn’t easy tonight and it was a difficult pitch as well," the former Italy defender noted. "Then Conti got sent off and things got easier for us. This group needed this result.
"We scored and we didn’t concede so we can start off from that. We can then analyse the things we didn’t do so well and make some changes to give more security to the team.
"We’re up and running now. The team is getting to know [Giampaolo] Pazzini and getting crosses in. I hope that El Shaarawy is still a long way from where he can get to. He gave us a lot this evening in attack.
"I’m very happy to have won. There was a bit of luck, but it is better than bad luck."