Otherwise, necessary legal action would be taken against them under Election Act 2017. Maryam and Safdar's counsel Amjad Pervaiz also filed the appeals on behalf of them, Geo TV reported.
On July 13, both Nawaz and Maryam were arrested at Lahore airport on their arrival from London and sent to Adiala Jail, Rawalpindi, to serve their sentence. They also issued notices to the National Accountability Bureau (NAB) and also ordered to present the record of the case.
A two-judge division bench comprising Justice Miangul Hassan Aurangzeb and Justice Mohsin Akhtar Kyani was expected to hear the appeals of the trio at around 11:00 am (local time), ARY News reported.
Mr. Sharif is being held amid increasing political tensions ahead of Pakistan's July 25 parliamentary vote.
The PML-N head further criticised Imran Khan saying that when dengue virus attacked Khyber Pakhtunkhwa, the Pakistan Tehreek-e-Insaf (PTI) chief went to Nathia Gali.
An appeal was also filed against conducting the proceedings of the remaining two corruption cases within the Adiala jail premises.
Haris told the IHC that the accountability court judge can not hear the two cases against them as the arguments were similar to those in the Avenfield case. Bashir has now recused himself from hearing two other corruption cases against the former prime minister.
Sharif and Maryam were convicted in absentia in the Avenfield reference case by the Accountability Court. His daughter Maryam was sentenced to seven years in prison along with a £2 million ($2.6 million) fine.
Imran Khan said upcoming general election would be a great opportunity for the people to get rid of those looting and plundering the country's recourse and public money for the last 30 years.
"We expect justice from the court", he said.
On 6 July, after four extensions in the original six-month deadline to conclude all three cases, the court announced its verdict in the Avenfield case.
While Sharif and his UK-based sons, Hussain and Hasan are named in all the three corruption cases - Avenfield reference, Flagship Investment and Al-Azizia reference, Maryam and Safdar are only named in the Avenfield case.