The detection of a single Higgs boson at the Large Hadron Collider (LHC) has allowed one to probe some properties of it, including the Yukawa and gauge couplings. However, in order to probe the Higgs potential, one has to rely on new production mechanisms, such as Higgs pair production. In this paper, we show that such a channel is also sensitive to the production and decay of a so-called `Flavon' field (HF), a new scalar state that arises in models that attempt to explain the hierarchy of the Standard Model (SM) fermion masses. In particular, we show that, with 300 fb−1 of accumulated data at 14 TeV (the Run 3 stage) of the LHC an heavy Flavon HF with mass MHF≃2mt can be explored with 5σ significance through the channel pp→HF→hh (h→γγ,h→bb¯). However, to probe the MHF∼1 TeV range, one has to rely on the High-Luminosity LHC (HL-LHC).