After beating the Gunners 1-0, Parker expressed his delight at his side's win and clean sheet: "It was all about that, it was keeping the clean sheet and not giving Arsenal an away goal."
"If we could take an advantage into the second leg, then we were going to take it and we've executed that perfectly tonight."
Remi Allen gave Blues the lead with a goal on her debut and Parker was aggrieved his side didn't extend that advantage: "It's not nice to say but when Kirsty (Linnett) goes through and gets pulled back, I think that can be a game-changing moment and we won't know how important that is until the second game is done and finished. whether it's a goal, a red card or something different that can change the tie and the whole complexity."
With the second-leg taking place on Sunday, Parker is keen for his side to stay focused: "There's an awful lot of work to do, it is half-time and we've got a slender lead but it gives us an opportunity to build on it, the first goal will be key, if they allow us to get that away goal it will really change the tie and the advantage will be fully in our favour."
Watch David's full interview below: