The judge said it is only the court that has the prerogative power to issue such a directive and not the National Assembly.
Members of the movement are said to be protesting against the continued detention of their leader, Ibrahim El-Zakzaky.
The list was sent to the Senate on Tuesday.
Mr Lawan stated this on Friday while addressing Women Parliamentarians, led by Joy Emordi, a former federal lawmaker.
Except he backs down, Kalu might trigger what played out during the formation of the 8th Senate in 2015 to repeat itself.
Mr Lawan was the preferred candidate of the ruling party when the formation of the 8th Senate was due in 2015.
Members of the Ekiti State House of Assembly have impeached the Deputy Speaker of the House, Mr Segun Adewumi.
The declaration of governor Okorocha was said to have been made under duress.
The Independent National Electoral Commission (INEC) has reportedly issued Rochas Okorocha, Imo West senator-elect, his certificate of return.
Mr Saraki during the formation of the 8th Senate in 2015 emerged Senate President against the wish of the APC even though he belonged to the party at the time.