Ibrox side Glasgow Rangers won 3-0 against Stranraer yesterday.
Barton is still searching for fitness at Rangers, as he missed much of pre-season.
The 33-year-old didn’t join up with Rangers until July 1st, but he was still selected to start against Stranraer.
Barton was able to manage 64 minutes, and his display helped Rangers pick up a comfortable 3-0 victory to ensure that they progressed in the Scottish League Cup.
“Joey was very positive in possession, positive in decision making and used the ball very wisely, he is a very experienced pro so I’m delighted he got a good hour under his belt,” Warburton said.
“He is behind the group in terms of fitness so it’s really pleasing to see that and on Saturday against Burnley we’ll get more time out of him.”
Barton is expected to have a vital role to play for Rangers throughout the upcoming campaign.
The midfielder is arguably the highest profile signing made by any Scottish club this summer, and his arrival at Ibrox has raised eyebrows.
Rangers have made an impressive start to the new season, by winning their first three competitive matches.
Warburton’s side’s first match back in the Scottish Premiership comes against Hamilton at the start of August.