Muslims do not believe that Jesus died on the cross as the Bible says in Matthew 27, Mark 15, Luke 23, and John 19 . Muslims differ among themselves as to exactly how Jesus escaped from death. A key Quran verse is as follows:
That they said (in boast), We killed Christ Jesus the son of Mary, the Apostle of Allah;- but they killed him not, nor crucified him, but so it was made to appear to them, and those who differ therein are full of doubts, with no (certain) knowledge, but only conjecture to follow, for of a surety they killed him not:-Nay, Allah raised him up unto Himself; and Allah is Exalted in Power, Wise (Surah 4:157-158) Does the Catholic church agree with this?
Who really knows???
CCC 841, quoting the Dogmatic Constitution on the Church, Lumen Gentium 16, from Vatican II, declared:
The plan of salvation also includes those who acknowledge the Creator, in the first place amongst whom are the Muslims; these profess to hold the faith of Abraham, and together with us they adore the one, merciful God, mankinds judge on the last day.