Predicting short-term price movements in cryptocurrencies, especially in response to specific events like the approval of ETFs, is highly speculative and subject to various factors. While the approval of ETFs could potentially bring more institutional investment into Ethereum and increase its price, it's impossible to say definitively whether it will reach $4,000 in a specific week. Market sentiment, investor behavior, regulatory developments, and broader economic conditions all play significant roles in determining the price of Ethereum and other cryptocurrencies. It's best to approach such predictions with caution and consider a variety of factors before making investment decisions.