The 23-year-old joined Saints from Burnley last summer for what was at the time a club-record £6million fee.
After struggling to make an immediate impact at St Mary's, Rodriguez has been given a new lease of life since the January arrival of Pochettino.
Goals in each of the last three games have repaid the Argentinian's faith and helped Saints secure wins over Liverpool, Chelsea and Reading yesterday.
Rodriguez opened the scoring at the Madejski Stadium and then provided the assist for captain Adam Lallana to make it 2-0.
"I think footballers adapt better or worse to certain ways of playing football," Pochettino said.
"He is a player that ever since I arrived has been really confident and playing basically all the games.
"I am just really happy with him and all my players because they showed a great capacity to adapt to this new brand of football I want to play.
"He is a player that has a great dynamism, great technical quality.
"He is obsessed by football, lives for football, has a great mentality and is always available.
"The sky is the limit for him. I don't see a roof - there is no limit."
Those sentiments were echoed by captain Lallana, who added: "There's no limit to where he can go. I train with him every day and he's a top, top lad.
"He's got his feet on the ground, great attitude and work ethic and it's a pleasure to play with him and have him at Southampton Football Club."
Much like Rodriguez, things are now looking up for Southampton - so much so that talk of a relegation battle has quickly turned to a potential top-10 finish.
"We've been playing well and it's a target that we have as well," Lallana added.
"If we keep performing well and winning we can look up towards the top half of the table."
Things at fellow promoted side Reading are not looking so rosy.
The defeat to Southampton was their seventh in succession on the bounce in the league, leaving them all but certain to go down.
Only six matches remain but top scorer Adam Le Fondre has promised not to go down with a whimper.
"We will have to pick ourselves up and go again," he said.
"I don't think it's in our make-up to give up.
"We are professionals and we owe it to the club to keep giving our all for the cause.
"The gaffer has been running the rule on all the players and if we do get relegated there will be the comeback and promotion push next year so it's time to impress and make sure he wants to keep you."