On Sunday night, a video emerged of Carragher reacting to taunts over Manchester United's 2-1 victory over Liverpool by spitting at a car carrying a 14-year-old girl and her father.
Carragher took to social media to publicly apologise for his actions, but the former defender of the Merseyside giants has now been suspended by Sky Sports and faces the possibility of being sacked by the broadcaster.
However, while criticising Carragher, Neville has revealed that he wants to see the 40-year-old continue in his position as a football analyst.
I've just watched Carra23 say sorry. No excuses he's made a big mistake . He's massively passionate about football and he's overstepped the mark and shouldn't have reacted . I've been on TV for 3 years with him and imo this isolated incident shouldn't stop us working together— Gary Neville (@GNev2) March 12, 2018