French forward Edouard has developed into a key player for Scottish champions Celtic since signing from PSG in 2018.
The 22-year-old is enjoying a stunning campaign, scoring 24 goals in 37 appearances, and Nicholas is adamant he would be a welcome addition at both Chelsea and Manchester United.
The Premier League rivals have been strongly linked with moves for Moussa Dembele this year but Nicholas says they should target his Celtic team-mate Edouard instead.
‘Odsonne Edouard is good enough to go and play at a Chelsea or a Manchester United,’ former Arsenal, Celtic and Scotland striker Nicholas told the Daily Express.
‘I say that with some confidence. I think he could go into both their squads and make a real impact.
‘That is how much ability he has. It is up to him how far he wants to go in his career. The sky’s the limit.
‘Why have I picked these clubs? Because they have both been linked with his former Celtic striker partner Moussa Dembele in recent months.
‘For me, Edouard is a better footballer than the Lyon striker and his fellow Frenchman.
‘He is absolutely nailed on to win the player of the year award in my opinion.’
Celtic are braced for offers for Edouard and manager Neil Lennon admits he is unsure whether the Scottish club will be able to keep hold of him beyond the summer.
‘He is super-talented,’ Lennon said. ‘He could play in the Premier League and Champions League, no question, with the form he is in.
‘At 22 he is has it all in front of him. I just hope he keeps getting better and better with us.
‘I don’t know [if we can keep him]. We have had no enquiries for him but I am sure somewhere down the line for someone of that quality there will be.’