Former Labour leader hopes issue of his suspension can be “resolved as quickly as possible”.
Jeremy Corbyn has said it was not his intention to “belittle concerns” about anti-Semitism in the Labour Party.
The former Labour leader was suspended from the party in October over his reaction to the Equality and Human Rights Commission’s report into anti-Jewish racism in the party.
In response Corbyn said allegations about anti-Semitism had been “dramatically overstated” by his political opponents. He also did not accept all of the EHRC’s findings.
Keir Starmer, who took over as party leader in April, said the report was a “day of shame” for the party and he was “truly sorry”.
He said anyone who believed accusations were “exaggerated or a factional attack” was “part of the problem” and “should be nowhere near the Labour Party”.
Corbyn’s suspension risked setting off a fresh civil war within the party, with his allies demanding it be overturned.
In a statement first given to the party on the day he was suspended, but published on Tuesday, Corbyn said: “To be clear, concerns about anti-Semitism are neither ‘exaggerated” nor ‘overstated’.
“The publication of the EHRC report should have been a moment for the Labour Party to come together in a determination to address the shortcomings of the past and work as one to root out anti-Semitism in our own ranks and wider society.
“We must never tolerate anti-Semitism or belittle concerns about it. And that was not my intention in anything I said this week.
“I regret the pain this issue has caused the Jewish community and would wish to do nothing that would exacerbate or prolong it.