The committee had said that there were 'discrepancies' between statements made by Mr Diamond and Marcus Agius, who appeared before the panel on Tuesday.
The claims relate to Mr Agius' questioning, during which MPs asked if he had passed on the Financial Services Authority's "issues" with Mr Diamond when he was appointed as chief executive. Mr Agius replied that he had, contradicting Mr Diamond's claim that he had not.
In his letter, Mr Diamond said: " Having watched the committee's session, I was dismayed that you and some of your fellow committee members appear to have suggested that I was less than candid with the committee last week. Any such suggestion would be totally unfair and unfounded.
"The comments made have had a terribly unfair impact on my reputation, which is of paramount concern to me."
Mr Diamond resigned from his position last week amid a storm of controversy regarding attempted Libor rate fixing by Barclays traders.
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