Triesman also believes Platini's proposals on stopping the transfer of under-18s between clubs in different countries will benefit English clubs.
"We still don't bring enough young English players through to the top of the game," he continued.
"I believe we do need to restrict the trading of under-18 players and their movement around.
"If it can be accommodated in European law, it is well worth considering.
"Is it okay for youngsters to be simply traded around the world? Is that desirable either for them, or the clubs who could lose them too easily?"
The Premier League believes the proposals are unworkable because they contravene current European Union labour laws and would, for example, have prevented Arsenal signing Spanish midfielder Cesc Fabregas when he was 16.
Asked about Triesman's thoughts, Premier League communications director Dan Johnson said: "We are always happy to have a conversation."
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