Adkins was sacked by Southampton earlier this month, despite an upturn in form which saw his team come from 2-0 down to draw 2-2 at Chelsea in his final game.
Former Espanyol coach Pochettino was installed as Adkins' successor and the Argentine takes Southampton to Manchester United on Wednesday for his first away game.
"I don't know a lot about him to be honest but I will have a chat with my brother [Martin] as he's been scouting in Spain," said Ferguson.
Regarding Adkins, the United boss added: "I spoke to him the day before he was sacked. He phoned me about his situation there. I mean I can't understand these things. I think their form had picked up. Was it two defeats in 12 games? That's not bad for a team at the bottom of the league.
"Southampton's fans have got a way of demonstrating and there were a few banners up at the Everton game. It's nice in terms of recognising the contribution Adkins made. He brought them up into the division and it's not an easy job."
United won 3-2 at Southampton earlier in the season in a thrilling game and Ferguson is expecting another tough test at home on Wednesday night.
"We're not taking anything for granted," he continued. "We've got Southampton on Wednesday, then we go to Fulham and then it's Everton at home. These are big games, massive games.
"Teams will drop points [in the title race]. Not just us but Manchester City will drop points, absolutely, it's a certainty Chelsea and Arsenal will drop points.
"We'll probably drop two or three ourselves but the important thing is accepting the challenge that every game is just as difficult as the rest."
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