He was one of the divines who were chosen to preach at St Paul's Cross in support of the Catholic religion; John Pits relates that on one occasion a bystander hurled a dagger at him, other writers assert that this happened to Dr. Pendleton, but John Stow that Gilbert Bourne occupied the pulpit on the occasion referred to. On 23 September 1556 Boxall was sworn as a member of the privy council; also as one of the masters of requests and a councillor of that court. In July 1557 he was made Dean of Peterborough; on 20 December following he was installed Dean of Norwich, and about the same time Dean of Windsor. He was elected registrar of the Order of the Garter on 6 February 1558, and in 1558 was created D.D. and appointed prebendary of York and Salisbury. Queen Mary allowed him ten retainers, and he was one of the overseers of Cardinal Pole's will.
Boxall was removed from the office of secretary of state by Queen Elizabeth, on her accession, to make way for William Cecil, to whom he acted helpfully. Having been deprived of his ecclesiastical preferments, he was on 18 June 1560 committed to the Tower of London by Archbishop Matthew Parker and other members of the ecclesiastical commission; subsequently he was in custody at Lambeth Palace with Thomas Thirleby, Cuthbert Tunstall and other Catholics. He was removed at different periods to Bromley and Beaksbourne, remaining still in the archbishop's charge. On 20 July 1569 Boxall, then in custody at Lambeth, wrote to Sir William Cecil requesting leave to visit his mother. Eventually the ailing Boxall was allowed to go to the house of a relative in London, where he died on 3 March 1571. His brothers Edmund and Richard were appointed administrators of his property.
He published a Latin sermon preached in a convocation of the clergy in 1555 and printed at London in the same year. He also wrote an Oration in the Praise of the Kinge of Spaine, left in manuscript in Latin, and probably composed in May or June 1555, on the report of the queen having been delivered of a prince.