As Hosea 12:10 proves, metaphor will be used by the ministry of the prophets, thus the idea that God experiences Days as man does, by reason of Hosea 12:10, can be doubted as a metaphor by the authority of God Himself, and throughout 2,000 years the Church has never actually been moved to proclaim either way.
Moreover, God tells us in Isaiah that He does not in fact experience things the way His creatures do, you know, being God and outside of Time, and the Creator of all things. Do not let this be a stumbling-block to you.
The Church Fathers have taught that the six "days" can be regarded as six "stages", according to God, and the seventh stage of Rest is now our time, and the Sabbath day of the week was commemorated to honor it.
"We see, indeed, that our ordinary days have no evening but by the setting, and no morning but by the rising, of the sun; but the first three days of all were passed without sun, since it is reported to have been made on the fourth day. And first of all, indeed, light was made by the word of God, and God, we read, separated it from the darkness, and called the light Day, and the darkness Night; but what kind of light that was, and by what periodic movement it made evening and morning, is beyond the reach of our senses; neither can we understand how it was, and yet must unhesitatingly believe it. For either it was some material light, whether proceeding from the upper parts of the world, far removed from our sight, or from the spot where the sun was afterwards kindled; or under the name of light the holy city was signified, composed of holy angels and blessed spirits, the city of which the apostle says, "Jerusalem which is above is our eternal mother in heaven;" Galatians 4:26 and in another place, "For you are all the children of the light, and the children of the day; we are not of the night, nor of darkness." - St. Augustine