With Patrice Evra expected to leave for Juventus, United are believed to be in the market for another defender to battle Luke Shaw for a place in the starting line-up and Rodriguez is rumoured to be on their radar.
Reports from Germany claim that the Premier League side have already contacted the full-back's agent, Roger Wittmann, to ask about his availability but Allofs has ruled out a potential transfer.
"That will have been a brief conversation," the Wolfsburg director told Kicker when asked about a meeting between Wittman and United.
"Ricardo is not going anywhere."
Rodriguez joined Wolfsburg from FC Zurich in January 2012 and has since developed into a key player at the Bundesliga club.
The 22-year-old, who was one of Switzerland's top performers in their run to the last 16 of the World Cup in Brazil, has a contract with Wolfsburg until the summer of 2016.