Anderson made the announcement on his blog on supersport.com just one week after reaching a career-high of 14th in the ATP singles rankings.
“After further examination of the current situation (and others) I have decided that I will be indefinitely unavailable for Davis Cup selection moving forward. My hope is to finally put an end to the constant hearsay that has surrounded my participation in Davis Cup,” said Anderson.
Anderson said he was let down by Tennis SA who issued a statement saying the player had made himself available to selection if a contribution requirement towards his expenses was met.
“I feel bitterly disappointed and let down by Tennis South Africa, who issued a press release last Monday that was a very inaccurate portrayal of my stance on Davis Cup competition,” said Anderson.
“In reality, TSA called my team early last week to report they had found a company willing to pay me a sum of money to play the Davis Cup.
“Out of respect, we said of course we could consider the offer and sent the following reply: “He (Kevin) very much appreciates the ‘expression of interest’ but is conscious of managing expectations and doesn’t want to let anyone down if the scheduling and calendar does not co-operate.”
Anderson had agreed to speak on a conference call last week after reaching the final of the Aegon Championship at Queens Club, where he lost to Andy Murray of Scotland in straight sets.