The Syro-Malabar Rite can name its own bishops.

In the sui juris (self-governing) Eastern churches that are in full communion with the Holy See, new bishops are appointed by the Synod of the particular Church. The single exception to that rule– which is laid out in the Code of Canon Law for the Eastern Churches– had been the Syro-Malabar Church. The Vatican had clung to the authority to appoint bishops directly for the Syro-Malabar Church, out of fear that the sharp divisions within the Eastern-rite group, primarily over liturgical issues, would be exacerbated by the process of making episcopal appointments.

….. In 1923 the Vatican officially recognized the Syro-Malabar hierarchy, and in 1993 gave the Eastern Church sui juris status– except in the matter of making episcopal appointments Apparently satisfied that the Syro-Malabar bishops will be able to overcome their differences, the Vatican made this final concession this week. Patriarch Ignace Moussa Daoud, the prefect of the Vatican’s Congregation for the Eastern Churches, announced the policy change on January 7, during a meeting of the Indian Catholic bishops’ conference. The Indian bishops are meeting in Thrissur, in the southern Kerala state, under the aegis of the Syro-Malabar archdiocese there.