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Martin Peters, West Ham legend, had his ashes laid in London Stadium's foundations today to commemorate the club's 1965 European Cup Winners Cup victory.
The club's 125th Anniversary celebrations include the statue.
Peters, who was 76 years old, played for West Ham for 11 years.
Former striker Hurst said that it was an "emotional day".
Hurst was there with Moore's daughter Roberta, and Peters' wife Kathy. He won the 1966 World Cup with England with his Hammers teammates - one year after their European triumph.
He said, "It was such an amazing time, winning both the FA Cup and the Cup Winners Cup, and miraculously, even the World Cup." It was truly amazing to see all three of us win the Cup Winners' Cup and FA Cup in three years.
Moore, a former captain of England, died in 1993 at 51.
Hurst is still the only World Cup finalist to have scored a hat trick. He compared their achievements to Emma Raducanu (18 years old), a British tennis player who won her first Grand Slam title earlier in the month.
He stated that "When Emma Raducanu won US Open, Tim Henman was referring to her and kept saying "it's a joke".
"This [statue] was behind me, along with my two coworkers growing up at the academy. It was a joke. It is amazing to have a statue like this.
"This is where it all began. The academy was just starting and the coaches began to take coaching seriously. We were extremely fortunate. Ron Greenwood, former West Ham manager, was a pioneer.
Sir Trevor Brooking, another club icon paid tribute to the Hammers trio and added: "You cannot forget those three years [between 1965-1966] as West Ham fans. We talked for a while about West Ham winning the World Cup due to those three players.
It was an incredible situation. It is rare to see three players from the same team playing so important in a final [for England] and winning it.
"We haven’t done it since. It was more than anything that someone from that era, who was fortunate enough to be there, has never forgotten it."
On Thursday, West Ham will face Rapid Vienna in the Europa League group stage. Hurst is impressed by the side's performance over the past couple of seasons.
According to the 79-year old, who joined the club at 15 and spent 15 years there, "We seem back under David Moyes." It seems like there are a lot more happy Hammers than there have ever been in a long time.
David brought the improvements that were needed to the team. This is what makes the difference.
"As Alf Ramsey was in our time fundamentally responsible to the success with England, then Ron Greenwood," a lot of the praises are for David Moyes in these last few years.
After the deaths of Jimmy Greaves (forward) and Roger Hunt (forward), Hurst's unveiling was marred by sadness.
Hurst described how "extremely disappointed" he felt as he remembered their 1966 time together. He said, "The three of them were vying to take two places."
"It looked like Jimmy and I, before the World Cup. Roger was given 22 and our club numbers were 8, 10 and 10.
"At that stage we played some friendly games, and I wasn't too good at them. He began with Roger and Jimmy who were two of my favorite people of that era.
"We know the truth, Jimmy was hurt. He would not have been able to continue his journey without him.
"I took over against Alf and made a contribution that made Alf very difficult to get Jimmy back in the side."