Davis has fallen down the pecking order in the battle for a central midfield place under Southampton boss Mauricio Pochettino.
But Pochettino made nine changes to his side that was held by Sunderland on Saturday for the cup tie at Oakwell - and Davis was one of the players to benefit.
He responded with two goals as Saints ran out 5-1 winners.
Asked whether he felt he had put pressure on Pochettino to pick him for the Premier League match with Norwich, Davis told the club website: "Yeah, you just want to give the manager something to think about.
"It was obviously a good opportunity to do that, but there's strength in the squad because everybody is fighting for a place in the team.
"Competition for places is good so it does give the manager something to think about. Whoever has the shirt has to work hard to keep it."
Despite the scoreline Davis said Barnsley had made life difficult for them.
"People might look at the scoreline and say it was an easy game," he said.
"It was anything but as we had to work hard, but our attitude was spot-on, shone through and we got our reward. It was a good scoreline in the end."