We present a model study of the factors controlling the drawability of semicrystalline flexible polymers. Our approach focuses on the relative importance of the strength, sigma(h), of the attractive bonds between chains in the amorphous phase and of that, sigma(a), of the same chains free of attraction forces. We find that drawability reaches its maximum value when the ratio of the two strengths falls below a critical value sigma(h)/sigma(a) similar or equal to 150. The maximum draw value itself is controlled by the crystallinity and by the entanglement density in the amorphous phase.