The new rules are also aimed at shutting down the churches "envelope" culture — requiring a limit on the value of gifts that cardinals and managers can receive.
During Sunday's ceremony, the pope had harsh words for armed forces, support for struggling countries, and urged the use of vaccinations to curb the pandemic.
The pontiff arrived at Baghdad International Airport where he was greeted by the prime minister. During his four-day visit, Francis will focus on Iraq's ancient but dwindling Christian community.
The pope and the president share liberal stances on climate change and economic disparity. A theology scholar argues U.S. Catholic Church leadership is increasingly allied with the political right.
Many Iraqis — Christian and Muslim — say they are excited about the first papal visit to the country, raising hopes of religious tolerance in the face of extremist violence.
Pope Francis accepted the resignation of Cardinal Robert Sarah as head of the Vatican's liturgy department. The Vatican did not provide a reason for the removal of the outspoken conservative.
In remarks at the Vatican on Sunday, Pope Francis condemned the violence at the U.S. Capitol and urged Americans to come together for the "common good."
"Vaccines for all, especially for the most vulnerable and needy of all regions of the planet," Pope Francis said at the Vatican on a subdued Christmas Day.
Only 100 or so people attended the service, and they wore masks and socially distanced. The Mass began two hours early so all could make it home before Italy's virus curfew.
The Vatican said it's permitted to get COVID-19 vaccines due to the "grave danger" of the pandemic, even if scientists used "cell lines from aborted fetuses in their research and production process."