Dave Sullivan (Junior) lambasted the West Ham man, as well as some team-mates, as the east London side drew 1-1 with the Toffees.
Livid how sam says zarate isn't good enough to play for west ham and yet nolan is some how— DA'VE SULLIVAN (@DaveSulley) January 6, 2015
Rant over— DA'VE SULLIVAN (@DaveSulley) January 6, 2015
The West Ham co-owner's son appears to have tweeted more but then deleted some, saying 'phone virtually crashing with the amount of mentions so tweets with the most stuff have been taken down.'
Now, the Hammers man has apologised on his family's behalf - and directly to Nolan himself:
"I would like to apologise on behalf of my family and myself as I do not think I have represented them fairly by my tweets yesterday," Sullivan Jnr tweeted this morning.
"They were a moment of madness as emotions got the better of me, I am only young but old enough to know better, there is no excuses for my actions.
"I am also sorry to Kevin Nolan, who doesn't particularly deserve my comments. I hope everyone will forgive me and this sort of situation will not happen again. Thank you for your understanding COYI."