Rooney received a standing ovation when brought on in the 58th minute of a match that Southgate's men were already in control of thanks to a fine Lingard effort and Alexander-Arnold's first goal for his country.
"It will live with me for a long time", added Rooney.
Callum Wilson netted his a goal on his England debut to make it 3-0 in the 77th minute, and after the match Guzan said he and his defenders were determined to stop Rooney as the home side repeatedly force-fed him the ball in risky positions.
"The way they are being coached is brilliant, it's a great group of young players who have a bright future".
Rooney received a warm reception before and after coming on for his 120th appearance for England, who prepared for Sunday's crunch Nations League clash with Croatia by beating the US 3-0 thanks to goals from Jesse Lingard, Trent Alexander-Arnold and Wilson. "I was about to come on against Southampton in the League Cup final, and in those moments it was embarrassing".
Borussia Dortmund teenager Sancho, making a first England start, was among those in an experimental side to impress and said a pep talk from Rooney inspired him to demonstrate his abilities.
Except the actual footage they shared was of Manchester United star Jesse Lingard's opener instead - and it didn't go unnoticed. I would like to thank Gareth and the FA for giving me this opportunity, and the players. His chapter has obviously ended now and mine is just starting.
Wayne Rooney is now the record goalscorer for England and Manchester United with 53 and 253 strikes respectively but believes Kane will trump his worldwide tally which is why he chose the Spurs striker to present him with the trophy. I've had my time. I'm sure in the next few years they will go close to being the next team to bring a trophy back for England.
"I know this is the first time this has happened, and I know everyone has enjoyed it, it hasn't taken away from what the players and Gareth are trying to do, and hopefully in a few years' time some of those players will get a similar night for them for their achievements in their England career".
Rooney was honoured before the game with a guard of honour and the presentation of a plaque bearing a golden Three Lions badge by current skipper Harry Kane. "We haven't had that discussion because Wayne gave a nice speech at the end and I didn't want to rain on his parade".