Fact: On March 30, 1533, he (Cranmer) became Archbishop of Canterbury, and forced (for a time) to hide his married state. Once his appointment was approved by the Pope, Cranmer declared King Henry's marriage to Catherine void, and four months later married him to Anne Boleyn. In 1536 it was Anne Boleyn’s marriage that was declared invalid, then Anne of Cleves 1540, then Catherine Howard. As King Henry divorces his many wives, Cranmer continued to be warmly supported by King Henry.
....in 1532, William Warham, Archbishop of Canterbury, died. Thomas Cranmer replaced him. The death of Warham was lucky for Henry as he could put one of his ‘own men’ forward as a replacement. Unlike Warham, Cranmer was in favour of the divorce. He had also played a part in roaming Western Europe finding theology academics who he could bribe so that they would support the king. He was also a member of the Boleyn faction so there can be little doubt that Anne supported his appointment. However, his appointment needed the approval of the Pope. As Cranmer was only an ordained priest and held no major positions of responsibility within the Church, the Pope would have been within his right to reject the nomination. However, Cranmer’s nomination was accepted.
I did say "oddly enough." All was now in place to push through the divorce. The Act in Restraint of Appeals had been passed and Henry could now guarantee that any body headed by Cranmer created to discuss the divorce would support the king.
In brief: The Pope officially made Cranmer Archbishop of Canterbury. It is also rumored that Cranmer "died Catholic," confessing to, and accepting the Last Rites from a Roman Catholic priest.
http://www.historylearningsite.co.uk/thomas_cromwell_divorce.htm
“King named or appointed bishops, pending Papal approval.”
Not after the investiture crisis. The pope elevated priests to bishops. His elevation to archbishop was improper. The pope never elevated Cranmore.
Cranmore’s elevation did not come from the Pope, and hence he was not part of the apostolic succession. Thus, Cranmore and all of his ecclesiastical actions are invalid, then as now.
As for your lie that the bishops all became Anglican:
Stokesly (executed 1539)
Longland (died, natural causes 1547)
Gardiner (died, natural causes 1555)
All remained Catholic.
I’m sorry, your ‘site’ isn’t a reliable source. Cranmore was never elevated to bishop by the Pope and is thus outside of the apostolic succession.