Roberto Baez, detainee # 90703, appeals the district court’s denial of his 28 U.S.C. § 2241 petition, challenging his indefinite detention pending removal to his native country of Cuba. Baez contends that the district court erred in rejecting his claim that his indefinite detention violates his constitutional rights. There are no constitutional time limits on the detention of excluded aliens who have been denied entry into the United States. Rios v. INS, 324 F.3d 296, 296 (5th Cir. 2003); Gisbert v. U.S. Atty. Gen., 988 F.2d 1437, 1439-41 (5th Cir.), amended by Gisbert v. U.S. Atty. Gen., 997 F.2d 1122 (5th Cir. 1993).

Baez next asserts that he was improperly denied immigration parole by the Mariel Cuban Review Panel (the “Panel”) based on inaccurate information concerning the quantity of cocaine involved in his drug-trafficking offense. The record indi *270 cates that parole was denied because Baez demonstrated a propensity to engage in recidivist criminal behavior, had been cited for failing to follow directions while detained, and had not shown that he would remain nonviolent and would not pose a threat to the community if released. Baez has not shown that he was improperly denied parole. See Gisbert, 988 F.2d at 1448.

Baez also advances that the Panel violated his due process rights. Excluded aliens do not have the same due process rights as criminal parolees, and denial or revocation of immigration parole does not rise to the level of a constitutional infringement. Id. at 1443.

Baez finally insists that he was denied adequate medical care to repair a hernia and was denied adequate pain medication. Baez’s claim is not cognizable is a 28 U.S.C. § 2241 petition; rather, it is properly brought in a civil rights action pursuant to 42 U.S.C. § 1983. See Martinez v. Texas Ct. of Crim. Appeals, 292 F.3d 417, 420 (5th Cir.), cert. denied, 535 U.S. 1091, 122 S.Ct. 1992, 152 L.Ed.2d 1046 (2002).

In addition to his substantive complaints, Baez has filed a motion for release pending appeal. We deny that motion. AFFIRMED; MOTION DENIED.