The former Scotland Yard commander was found guilty for a second time at a retrial in February.
Dizaei was first convicted of framing young businessman Waad al-Baghdadi in a street row in 2010 and sentenced to four years. That conviction was quashed by the Court of Appeal a year later.
After the second trial and conviction, he received a three-year prison sentence.
This was reduced to 15 months and he has since been released on completion of that term.
He was sacked by the Metropolitan Police in May following internal disciplinary proceedings.
It was confirmed last Wednesday that Dizaei has been granted permission to challenge his second conviction at the Court of Appeal. No date has been fixed for a hearing, but it is expected to be in the autumn.
Dizaei’s defense attorney, Imran Khan, said in a statement: “We are pleased that the Court of Appeal has granted Dr Ali Dizaei permission to appeal his conviction.
“Dr Dizaei has always maintained that the jury should have been made aware of the allegations made against the complainant, Waad Al Baghdadi, by others.’’ Among other things, Baghdadi claimed to be an Iraqi to get into Britain, although he is actually Iranian-born, and he is alleged to have continued to collect welfare payments for his father after his father died.