Described are peptides and peptide conjugates comprising CN binding motifs (CNBM) which inhibit the CN-NFAT interaction. In some embodiments, the peptides comprise: (i) CNBM; (ii) a hydrophobic, non-peptidic moiety (RH) which interacts with the hydrophobic pocket on a CN protein; (iii) a sequence -AAU1-AAU2-AAU3-AAU4-AAU5-AAU6-, wherein each of AAU2, AAU3, AAU4, AAU5, and AAU6, is, independently, optional, and each of AAU1, AAU2, AAU3, AAU4, AAU5, and AAU6 when present is independently an amino acid as defined herein; or (iv) combinations thereof. In some embodiments, RH is conjugated to the N- or C-terminus of the CNBM. In some embodiments, the sequence -AAU1-AAU2-AAU3-AAU4-AAU5-AAU6- is conjugated to the N- or C terminus of the CNBM. In some embodiments, the peptides comprise: CNBM and RH. In some embodiments. In some embodiments, the peptides comprise: CNBM and AAU1-AAU2-AAU3-AAU4-AAU5-AAU6-. In some embodiments, the peptides of the disclosure CNBM and RH.