Woodward was director of football at Southampton when the club’s academy team really blossomed in 2005 and 2006.
He told The Sun: “Whatever the sport, you can see potential greatness in individuals even when they are just kids.
“Gareth and Theo were just that, kids, when I was at St Mary’s but their quality was evident even then as 16-year-olds.
“Gareth was a flying left-back, Theo a striker or winger. They both had obvious talent and were very exciting to watch.
“And it helped them greatly to be part of a tremendous academy side. If you look at that squad, you’ll find players, the vast majority of whom are in the Premier League or Championship today.”