Some people say that Christ never established a church. Is it correct?
No, Christ established His Church on the foundation of the Apostles and the prophets. Himself being the chief cornerstone (Eph 2:20, 1 Cor. 4:15). He appointed Peter as the leader taking into consideration his "more love" (Jn 21 :1517) or "more faith" (Mt. 16:13-20). As the tiny mustard seed becomes a huge tree (Mt. 13:31) and a small quantity of leaven leavens the whole measure of flour, the Church inaugurated by Jesus with a small band of Apostles became a big organization in course of time. All throughout the centuries it remained God's Church due to his continuous presence in the Church (Mt. 28:20) and the work of the Holy Spirit (Acts. 2:4). Even from the early days, it was called God's Church (Acts 9:5). After his conversion, St Paul indicts himself, "For you have heard of my former conduct in Judaism, how I persecuted the church of God beyond measure and tried to destroy it (Gal. 1:13). The Apostolic tradition of this "God's Church" is rightly claimed by the Catholic Church. Even Paul, the greatest missionary had often recourse to the Apostolic authority to establish the veracity of his teaching (Gal. 2:2). However, some people nowadays teach different doctrines and run the risk of ruin.