In general the primary and most liquid markets (usually the same) dictate the companies overall price movements. Also of consideration is, what indexes the stock is part of, and how those indexes are trading. You may find that the price of Apple Inc. more closely follows the movement of the S&P 500 Index than how it moves in Europe earlier on in the day.
There is a catch-22 situation where people don't want to trade in illiquid markets because there is not enough liquidity.. which in turn results in there not being liquidity.
While alternative listings (either through multiple listings of the common stock or listing of depository receipts for the common stock) may be helpful for market participants who do not want to go through the hassle of using foreign currencies or finding brokers who have access to those markets, large institutions will care more about which markets have adequate liquidity, and are open when they want to trade. They will often disregard price movements that take place when there is low levels of liquidity as having a lower level of liquidity can result in non-representative price movements resulting from short term lack of supply or demand.
Some chart analysts 'weight' the indications on a chart by volume.
While the primary session opens at 9:30 New York time, US exchanges do also have 'pre-opening' and 'after hours' sessions that coincide with European hours (e.g. NYSE Arca opens at 2:00 AM New York time). Often movements that occur during the pre-opening session are disregarded when the market opens in its primary session due to the low volume of trading that took place.
People who would have been willing to buy at the lower price (or sold at the higher price) hadn't arrived at the office yet...