Yes, grammatically the sentence is correct, but most people would say "Чамайг дуудахад чи инээв". Another example: "Холоос чамайг дуудахад чи эргэж хараад инээсэн".
чамайг дуудахад - it's obvious who is calling, so no need to say "намайг". But in case someone else is calling, you need to say who is it: Ээж чамайг дуудсан. Болд чамайг дуудсан.