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The new X-ray transient MAXI J1535-571 was discovered by MAXI/GSC at 23:55 UT on September 02 and localised in the direction of the Galactic plane (ATEL #10699). Almost simultaneously the Swift/BAT trigger observed X-ray activity at a position coincident with the localisation of the MAXI/GSC detected transient confirming the discovery of a new Galactic Transient.The field around MAXI J1535-571 was observed on September 3 with the 0.61m B and C Telescope at Mt. John Observatory New Zealand (ATEL #10702). One target was found inside the Swift/XRT error circle in the i-band image at magnitude 21.8 +- 0.2. The detection in the i-band images suggests this source is variable not only in X-rays but also at optical/infra-red wavelengths. Although the nature of this source is still uncertain combining this result with the detections from the Swift MAXI together with the location in the Galactic plane strongly suggests that MAXI J1535-571 is a compact interacting binary possibly a new low mass x-ray binary.No X-ray bursts or coherent X-ray pulsations (up to ~290 Hz) were detected yet on Swift data.The observed X-ray spectral shape (a power law with index 1.5(1)) and the X-ray flux (few x 10^-9 erg/s/cm2) of the source are compatible with accreting millisecond pulsars or a black-hole in outburst. Here we suggest to follow-up this bright transient within an entire INTEGRAL revolution (roughly) in order to: - have the possibility of detecting type-I X-ray bursts with JEM-X - possibly detect pulsations in a energy band not covered by NuSTAR but with IBIS/ISGRI (up to several 100 keV) measuring also the dependence in energy of the pulsed fraction- measure the broad-band spectrum of a possible BHC up to several 100 keV and determine the emission state in an energy band not covered by other facilities (exploiting the uniquely large band p [truncated! Please see actual data for full text]