Burke made his debut in the Premier League, as the Hammers played out a goalless draw with QPR at Loftus Road in the London derby.
The 18-year-old gave a good account of himself during the 90 minutes, winning all three headers and five out of the six tackles he attempted.
Reflecting on his display against Rangers, Burke told West Ham’s official website: "I've played a few games for the first team before, but Saturday was at a different level in the Premier League.
"I'm glad I've made my Premier League debut - I thought I did alright and hopefully there's many more games to come.”
Burke also thanked West Ham teammate and fellow defender James Collins for his advice during the game against QPR.
“Ginge helped me throughout the game, talking to me and telling me not to get too tight to Bobby Zamora as he's a strong lad,” said the England Under-19 international. "He spoke to me a lot during the game and helped me to do well.”
Saturday’s draw means that West Ham have not won a Premier League game since March 21, but attacker Stewart Downing felt that the result was a fair one.
“They’ve missed a good chance with the penalty and we had a couple late on, so overall I think it was probably a fair result,” the former Aston Villa and Liverpool man told West Ham’s official website.
“We get a point back on the board, a clean sheet, so there’s a positive there, but we’d like to have won on Saturday.”
West Ham are currently 11th in the Premier League table with 44 points from 34 matches.