This document collects the proceedings of the "Parton Radiation and Fragmentation from LHC to FCC-ee" workshop (http://indico.cern.ch/e/ee\_jets16) held at CERN in Nov. 2016. The writeup reviews the latest theoretical and experimental developments on parton radiation and parton-hadron fragmentation studies --including analyses of LEP, B-factories, and LHC data-- with a focus on the future perspectives reacheable in \(e^+e^-\) measurements at the Future Circular Collider (FCC-ee), with multi-ab\(^{-1}\) integrated luminosities yielding 10\(^{12}\) and 10\(^{8}\) jets from Z and W bosons decays as well as 10\(^5\) gluon jets from Higgs boson decays. The main topics discussed are: (i) parton radiation and parton-to-hadron fragmentation functions (splitting functions at NNLO, small-\(z\) NNLL resummations, global FF fits including Monte Carlo (MC) and neural-network analyses of the latest Belle/BaBar high-precision data, parton shower MC generators), (ii) jet properties (quark-gluon discrimination, \(e^+e^-\) event shapes and multi-jet rates at NNLO+N\(^{n}\)LL, jet broadening and angularities, jet substructure at small-radius, jet charge determination, \(e^+e^-\) jet reconstruction algorithms), (iii) heavy-quark jets (dead cone effect, charm-bottom separation, gluon-to-\(b\bar{b}\) splitting), and (iv) non-perturbative QCD phenomena (colour reconnection, baryon and strangeness production, Bose-Einstein and Fermi-Dirac final-state correlations, colour string dynamics: spin effects, helix hadronization).