Inter have won just two out of 12 games under former England Women boss Neville.
Inter are bottom of the Eastern Conference after winning just two of their first 12 games under former England Women boss Neville.
Neville told reporters at a press conference: “It is the lowest in terms of my feelings after a defeat that I have had since I came to this football club – and we have had some disappointments.
“You can lose games in football but the manner in which we lost tonight was – I’ve said the word unacceptable in the past, but this feels worse than that.
“The thing that really surprised me was I wasn’t expecting it, from the feeling I have had for the last 10 days I wasn’t expecting it and the players need to take a long, hard look at themselves – and so do I.
“We win, we lose together. You will never find me blaming (anybody else). I will take full responsibility for that and ultimately it is my job to make this team better and at this moment in time they are not.”
Inter, who are co-owned by Neville’s former Manchester United and England team-mate David Beckham, are in their second season in MLS.
Neville was appointed in January after three years in charge of England Women.