Strawberry fruits are rich in flavonoids like proanthocyanidins and anthocyanins. Their biosynthesis and accumulation are controlled by the MYB-bHLH-WD40 (MBW) transcriptional complex, which is mainly formed by basic helix-loop-helix (bHLH) and MYB transcription factors (TFs). In Arabidopsis thaliana both bHLH and MYB TFs are repressed by JASMONATE ZIM-DOMAIN (JAZ) proteins, the key repressors of the jasmonate-signaling pathway. The aim of this research was the characterization of the FaJAZ1/8.1/9/10 proteins and molecular targets of signaling components and anthocyanin biosynthesis-related TFs of Fragaria × ananassa by protein–protein interactions. For this, domain compositions were studied by multiple alignments and phylogenetic analyses, while interactions were analyzed by yeast two-hybrid (Y2H) assays. We detected high conservation of FaJAZ proteins and jasmonate-signaling components, as well as FabHLHs and FaMYB10 TFs. Moreover, we report the F. × ananassa YABBY1 (FaYAB1) TF, which is related to anthocyanin biosynthesis in Arabidopsis, showed high conservation of functional domains. We demonstrated that FaJAZ repressors interacted with F. × ananassa NOVEL INTERACTOR OF JAZ (FaNINJA), FaMYC2, and JASMONATE ASSOCIATED MYC2-LIKE (FaJAM) proteins. Besides, transcription factors of MBW-complex like FabHLH3, FabHLH33, and FaMYB10, together with FaYAB1, were molecular targets of FaJAZ repressors, exhibiting specificity or redundancy of interaction depending on particular FaJAZ protein. Overall, these results suggest that interactions of jasmonate-signaling components are fully conserved, and anthocyanin biosynthesis might be regulated by JAZ repressors in F. × ananassa.