Despite a run of only two defeats in 12 games, which dragged the club out of the Premier League relegation zone, Adkins was immediately replaced by former Espanyol manager Mauricio Pochettino, who left the Spanish side in bottom place after 13 La Liga matches in November.
Perry McMillan of the Southampton Independent Supporters Association said: "As Spanish supporters wave white hankies as a form of protest, it seems an appropriate way to protest at executive chairman Nicola Cortese's ruthless treatment of Nigel Adkins.
"It's important we send out this message and, as this match is live on TV, it will be seen throughout Europe."
Legendary former Southampton forward Matt Le Tissier has also accused Cortese of having "a bit of an ego problem" and acting in a cowardly manner over the Adkins' sacking.
"Some of the decisions that have been made since the current chairman took over have been a bit bizarre," he said.
Le Tissier further criticised Cortese for not explaining his decision in public, instead leaving Pochettino to face the press alone. "The strangest thing about it all for me was that he brings the new manager in about a minute after he sacked Nigel and then he hangs the new manager out to dry at a press conference on his own, which I thought was an incredibly cowardly thing to do.
"If he's going to make those decisions surely he owes it to the fans to sit there and explain his decision, but he wasn't brave enough to do that."
Pochettino's immediate task is to maintain the momentum that has lifted Southampton up to 15th.
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