Just yesterday co-owner David Sullivan insisted West Ham will 'definitely' sign at least five more players following the transfers of goalkeeper Darren Randolph and midfielder Pedro Obiang.
But Ashton, who was a real fans' favourite at Upton Park during his three years there before enforced early retirement due to injury, feels the club need another six players to truly compete with the added pressures of the Europa League.
And he has begged the East Londoners to make their final season at their famous Boleyn Ground an exciting one by pressing ahead with rumoured moves for wantaway Chelsea striker Remy and unhappy Paris St Germain midfield maestro Cabaye, who shone together at Newcastle United.
"Remy is a top-class forward and has the pace to strike fear into any defence.
"That kind of pace is something that every Premier League side needs and it is something that West Ham did have at the start of last season with [Diafra] Sakho and [Enner] Valencia. Pace had been missing from their attack for a while until then.
"Cabaye is also a top-class player. The way he can control things in the middle of the park, when he is on his game, is on another level."
The Hammers - who qualified for the Europa League via the Fair Play League last season - will start their season before any other Premier League team when they kick-off competitive matches on July 2 in the first qualifying round of European football's secondary competition.
And Ashton feels it is imperative the club do not simply beef the squad up with numbers but instead go after quantity and quality.
The ex-Norwich City and Crewe forward highlighted West Ham's lack of strength in depth last season as a key factor behind their slide from fourth place at Christmas to 12th by the season's end.
It was a slump that ultimately cost Sam Allardyce his job and Ashton says they must have quality to replace quality when injuries and Europa League commitments take their toll.