The Phobians, after going three games without a win, opened the scoring through Ivorian import Alexander Kouassi Kouami in the first-half but Richard Arthur brought the visitors level on 83rd minute following a howler from goalkeeper Ben Mensah.
However, a late goal from Thomas Abbey, after he connected Kouami's cross, handed the hosts the maximum points.
“It was really a difficult game, a tough one for us. Wa All Stars were good side and played as champions,” Nuttall said.
“We played good football and we won. I think we deserved the win because we were the better side on the day but it was a really difficult game for us. Our opponents were good on the ball and good when they were moving forward as well,” he added.
Nuttall also advised his charges to maintain their performance ahead of their trip to Dormaa Ahenkro against leaders Aduana Stars, whom they trail four points.
''I think the win is a huge progress from the three games we played before Sunday but you know it's about consistency we need and we have to work towards it. I can't promise the supporters consistent victories but we will work very hard towards achieving that dream."
Hearts are now third on the log with six points.