Rauf, who is on the International Cricket Council's Elite Panel, was stood down from Champions League trophy duty last week.
The ICC made no specific reference to spot-fixing allegations, but said the decision was made "following media reports that he was under investigation by Mumbai Police".
Rauf had been umpiring in the Indian Premier League, which is currently being investigated by police looking into illegal betting syndicates.
Rauf, 57, addressed the press in Lahore on Wednesday, with his comments widely reported in India.
"I personally deny all the news coming from media...regarding spot-fixing, match-fixing, taking gifts and money," Rauf said.
"I am happy to answer any questions. I strongly deny every allegation levelled against me in India and I have never had any links with any sort of fixing there.
"I am only answerable to the ICC's ACSU (anti-corruption and security unit) and I'm more than happy to talk to them if they constitute any inquiry."
Rauf also clarified that his removal from the Champions Trophy did not affect his status on the Elite Panel.
"I am satisfied with the ICC's decision to withdraw me because it may have caused a distraction while performing my role," he added.
"They have only withdrawn me from the Champions Trophy, not fired me.
"So it was their decision, with my consent, for the betterment of both me and the cricket."