The 23-year-old was called up after Tim Bresnan suffered an injury during the Three Lions' tour of India.
Woakes told Sky Sports News: "I probably wasn't expecting to be in all three squads at the start of the winter. But that's the way it is, and I'm obviously delighted. I'm really looking forward to it.
"From a confidence point of view, it's great to be in all three squads. I think every cricketer in that dressing room would like to be in all three.
"I've just got to try to put some performances on the board and work hard in training and get myself in the final XI."
Woakes is yet to earn a Test cap for England, but has made eight appearances in one-day internationals and three in T20 games for his country.