The south coast outfit gave a respectable performance upon their return to the Premier League, at one point holding a 2-1 lead at the Etihad before going on to lose 3-2 to the champions.
And Rodriguez, who signed for Saints from Burnley this summer, insists they must give a repeat performance if they to are to get a result.
"Wigan will be a massive challenge - I think every game in the Premier League will be," he told the club's official website.
|SAINTS TO PERFORM A MIRACLE?|
|19/1||Southampton are 19/1 with Paddy Power to beat Wigan 3-0 on Saturday|
"We can't look lightly at it because it's a Premier League game against a great side, so we'll take it as if we are playing Manchester City away.
"We'll show our stuff, and hopefully get the win that we want."
The 23-year-old went on to hail the "amazing feeling" of making his Premier League debut on Saturday and says the result against City should give Southampton confidence.
"It was an amazing feeling to walk out in front of all of those people and play the best team in the Premier League," he reflected.
"I thought we gave a good account of ourselves, but the whole team learned a lot.
"It's a massive experience to play against the best, but I thought we handled ourselves really well so we've come out with a bit of confidence because we were unlucky not to win.
"It was a great day and a great start to the season. We were obviously disappointed with the result, but the positive we can take out of it is the performance.
"We scored two great goals and kept ourselves in the game, so I thought we did really well."