The Gunners secured their first victory of the season last night in a thrilling 4-3 triumph over Leicester.
Arsene Wenger has strengthened his squad this summer.
Alexandre Lacazette and Sead Kolasinac have both been drafted in following last term’s frustrating campaign.
But Neville isn’t convinced the new additions are enough for Arsenal to secure Premier League glory.
“Maybe not (enough changes) to win the league, which ultimately is what they want to do,” Neville said on Sky Sports.
“I think last season was such a disruptive season, I didn’t like it.
“Obviously the performance dropped below the Arsenal standard but I felt it became too easy for people to stick the knife in to Arsene Wenger, he deserved more than that.
“I don’t think that was right, even my colleague here (Jamie Carragher) said he should have left at the end of the season.
“I genuinely do believe in a season where we saw (Claudio) Ranieri sacked (at Leicester) after winning the league that we should reward and praise when club’s show the ultimate loyalty and sticking with the manager.”
Arsenal face Stoke next at the Bet365 Stadium on August 19.
