The midfielder came off the bench to grab Saints' second of the night in a 3-0 win over Hamilton in the third round of the League Cup.
Edwards joined the Perth side on loan from Swansea again in the summer after a spell at McDiarmid Park last season.
So far this term he has made seven appearances but, having started just one game, is keen to increase his time on the pitch.
The Welshman said: "With every opportunity I get, I just want to impress the manager, whether that's on the pitch or in training.
"It was a good result for the team and it was just a plus for me to come on and get a goal as well.
"It's my first senior goal and I was delighted to get it. It was great to come on and make it 2-0 and help get the win for the team."
Stevie May set the ball rolling with the opener after just four minutes but Saints had to wait until Edward's goal with four minutes to go to end any hopes of an Accies comeback.
May then claimed a double with a superb 25-yard strike deep into injury time as Saints booked their place in the quarter-finals.
Edwards said: "It was a good win. It was a shame we didn't get more goals but we got three in the end.
"We kept the ball well from the start and it was good to get the early goal. After that, it was just about trying to see the game out."
Edwards would love to see St Johnstone go all the way in the competition, especially after favourites Celtic were dumped out by Morton.
He said: "We look ahead to the next game now and hopefully we can get another win and kick on from there.
"In the cup ties anything can happen and there are a lot of shocks in football so it was good to get the win in this game.
"Our target was to do well in the league and now it's our target to do well in the League Cup as well."